### Complete Bibliography

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[2] : Mean convergence of orthogonal series and conjugate series. Ph.D. thesis, Princeton University, 1961. Advised by S. Bochner. MR 2613322 phdthesis

[3] : “Mean summability for ultraspherical polynomials,” Math. Scand. 12 (1963), pp. 167–177. MR 164198 Zbl 0132.29501 article

[4] : “On the behavior of special classes of ultraspherical expansions, II,” J. Analyse Math. 15 (1965), pp. 193–220. article

[5] : “On some problems posed by Karlin and Szegö concerning orthogonal polynomials,” Boll. Un. Mat. Ital. (3) 20 : 1 (1965), pp. 125–127. MR 177148 Zbl 0127.03102 article

[6] : “Mean convergence of expansions in Laguerre and Hermite series,” Am. J. Math. 87 : 3 (July 1965), pp. 695–708. MR 182834 Zbl 0125.31301 article

[7]
:
“Orthogonal expansions with positive coefficients,”
Proc. Am. Math. Soc.
16 : 6
(1965),
pp. 1191–1194.
Part II was published in *SIAM J. Math. Anal.* **2**:3 (1971).
MR
185331
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0136.05103
article

[8] : “On the behavior of special classes of ultraspherical expansions, I,” J. Analyse Math. 15 (1965), pp. 193–220. MR 193290 Zbl 0132.29403 article

[9] : “Orthogonal expansions of averaged functions,” J. Math. Anal. Appl. 14 : 2 (May 1966), pp. 326–331. MR 188699 Zbl 0136.37003 article

[10] : “Integrability theorems for Fourier series,” Duke Math. J. 33 : 1 (1966), pp. 223–228. MR 192260 Zbl 0136.36501 article

[11] : “Norm inequalities for some orthogonal series,” Bull. Am. Math. Soc. 72 : 5 (1966), pp. 808–823. MR 198114 Zbl 0173.06703 article

[12] : “A transplantation theorem between ultraspherical series,” Ill. J. Math. 10 : 2 (1966), pp. 322–344. MR 211187 Zbl 0135.27603 article

[13] : “A transplantation theorem for ultraspherical coefficients,” Pac. J. Math. 16 : 3 (1966), pp. 393–405. MR 217508 Zbl 0136.37201 article

[14] : “Smoothness conditions for Fourier series with monotone coefficients,” Acta Sci. Math. (Szeged) 28 : 1–2 (1967), pp. 169–171. MR 212474 Zbl 0172.34701 article

[15] : “A transplantation theorem for Jacobi coefficients,” Pac. J. Math. 21 : 3 (1967), pp. 393–404. MR 217509 Zbl 0172.08601 article

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[17] : “Product of ultraspherical polynomials,” Am. Math. Monthly 74 : 10 (December 1967), pp. 1221–1222. MR 223618 Zbl 0153.09202 article

[18] : “A dual convolution structure for Jacobi polynomials,” pp. 25–36 in Orthogonal expansions and their continuous analogues (Edwardsville, IL, 27–29 April 1967). Edited by D. T. Haimo. Southern Illinois University Press (Carbondale, IL), 1968. MR 232027 Zbl 0174.36305 incollection

[19] : “Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces,” Bull. Am. Math. Soc. 74 : 2 (1968), pp. 301–304. To I. J. Schoenberg on his 65th birthday. MR 220987 Zbl 0167.35003 article

[20]
:
“__\( L^p \)__ behavior of power series with positive coefficients,”
Proc. Am. Math. Soc.
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[21] : “Positivity of the Cotes numbers for some ultraspherical abscissas,” SIAM J. Numer. Anal. 5 : 2 (June 1968), pp. 199–201. MR 228166 Zbl 0169.08301 article

[22] : “On a positive trigonometric sum,” Proc. Am. Math. Soc. 19 : 6 (December 1968), pp. 1507. MR 231107 Zbl 0174.35704 article

[23] : “Dual equations and classical orthogonal polynomials,” J. Math. Anal. Appl. 24 : 3 (December 1968), pp. 677–685. MR 234235 Zbl 0185.12601 article

[24] : “Book review, V. Mangulis, ‘Handbook of series for scientists and engineers’,” J. Franklin Inst. 287 : 6 (July 1969), pp. 530–531. article

[25]
:
Orthogonal polynomials and positivity.
Technical report TW 112,
Mathematisch Centrum, Amsterdam,
August 1969.
Later published in *Special functions and wave propagation* (1970).
MR
247356
Zbl
0188.12402
techreport

[26]
:
“Mehler’s integral for __\( P_n(\cos \theta) \)__,”
Am. Math. Monthly
76 : 9
(1969),
pp. 1046–1049.
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1535644
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article

[27] : “Integral representations for Jacobi polynomials and some applications,” J. Math. Anal. Appl. 26 : 2 (May 1969), pp. 411–437. MR 237847 Zbl 0172.08803 article

[28] : “A transplantation theorem for Jacobi series,” Ill. J. Math. 13 : 3 (1969), pp. 583–590. MR 246038 Zbl 0174.35303 article

[29] :
Mean convergence of orthogonal series and Lagrange interpolation.
Technical report TW 113,
Mathematisch Centrum, Amsterdam,
September 1969.
A corrected version of this was later published in *Acta Math. Acad. Sci. Hung.* **23**:1–2 (1972).
MR
259473
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[30] : Three notes on orthogonal polynomials. Technical report TW 114/69, Mathematisch Centrum, Amsterdam, October 1969. MR 261049 techreport

[31] : “A convolution structure for Jacobi series,” Am. J. Math. 91 : 2 (April 1969), pp. 463–485. MR 264132 Zbl 0186.12303 article

[32] : “A trigonometric inequality (J. N. Lyness and C. B. Moler),” SIAM Review 11 : 1 (1969), pp. 82–86. article

[33] : Eight lectures on orthogonal polynomials. Technical report TC 51/70, Mathematisch Centrum, Amsterdam, April 1970. techreport

[34] : “Orthogonal polynomials and positivity,” pp. 64–85 in Special functions and wave propagation (Washington DC, 9–12 June 1969). Edited by D. Ludwig and F. W. J. Olver. Studies in Applied Mathematics 6. SIAM (Philadelphia), 1970. A version of this was published as a 1969 technical report. incollection

[35] : “An inequality for the classical polynomials,” Nederl. Akad. Wet., Proc., Ser. A 73 (1970), pp. 22–25. MR 257428 Zbl 0186.37701 article

[36] : “Some integrability theorems for power series with positive coefficients,” pp. 23–32 in Mathematical essays dedicated to A. J. Macintyre. Edited by H. Shankar. Ohio University Press (Athens, OH), 1970. MR 277956 Zbl 0212.41401 incollection

[37] : “Linearization of the product of orthogonal polynomials,” pp. 131–138 in Problems in analysis: A symposium in honor of Salomon Bochner (Princeton, NJ, 1–3 April 1969). Edited by R. C. Gunning. Princeton Mathematical Series 31. Princeton University Press, 1970. MR 344786 Zbl 0212.41001 incollection

[38] : “Some elementary integrability theorems for special transforms,” J. Analyse Math. 23 (1970), pp. 27–38. MR 270078 Zbl 0212.41402 article

[39]
:
Certain rational functions whose power series have positive coefficients.
Technical report ZW 1970-006,
Mathematisch Centrum, Amsterdam,
1970.
This was later published as an article in *Am. Math. Monthly* **79**:4 (1972).
Zbl
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[40] : “A positive integral (Richard Askey),” SIAM Review 12 : 4 (1970), pp. 588–590. article

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[43]
:
“Orthogonal expansions with positive coefficients, II,”
SIAM J. Math. Anal.
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(1971),
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296591
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article

[44] : “A positive integral (Richard Askey),” SIAM Review 13 : 3 (1971), pp. 396–397. article

[45] : “Book review, P. L. Butzer and R. J. Nessel, ‘Fourier analysis and approximation’,” SIAM Rev. 14 : 3 (1972), pp. 507–508. article

[46] : “A positive Cesàro mean,” Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 381/409 (1972), pp. 131–134. MR 330902 Zbl 0254.42001 article

[47]
:
“Certain rational functions whose power series have positive coefficients,”
Am. Math. Monthly
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301441
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article

[48]
:
“Positivity of the Cotes numbers for some Jacobi abscissas,”
Numer. Math.
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[49] : “Mean convergence of orthogonal series and Lagrange interpolation,” Acta Math. Acad. Sci. Hungar. 23 : 1–2 (1972), pp. 71–85. This originally appeared as a 1969 technical report. MR 322400 Zbl 0253.41003 article

[50] : “Jacobi summability,” J. Approximation Theory 5 : 4 (June 1972), pp. 387–392. Dedicated to Professor J. L. Walsh on the occasion of his 75th birthday. MR 336206 Zbl 0234.40016 article

[51]
:
“Positive Jacobi polynomial sums,”
Tohoku Math. J. (2)
24 : 2
(1972),
pp. 109–119.
Dedicated to Professor Gen-ichirô Sunouchi on his 60th birthday.
Part II was published in *Am. J. Math* **98**:3 (1976). Part III was published in *Linear operators and approximation, II* (1974).
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340672
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0237.33010
article

[52] : “Problem 71-13: ‘A positive integral’ by L. Carlitz,” SIAM Rev. 14 (1972), pp. 372–378. MR 304731 article

[53] : “An integral for Jacobi polynomials,” Simon Stevin 46 (1972–1973), pp. 165–169. MR 328160 Zbl 0308.33006 article

[54] : Radial characteristic functions. Technical report 1262, UW-Madison Mathematics Research Center, November 1973. techreport

[55] : “Refinements of Abel summability for Jacobi series,” pp. 335–338 in Harmonic analysis on homogeneous spaces (Williamstown, MS, 31 July–18 August 1972). Edited by C. C. Moore. Proceedings of Symposia in Pure Mathematics 26. American Mathematical Society (Providence, RI), 1973. MR 340934 Zbl 0282.43008 incollection

[56] : “Summability of Jacobi series,” Trans. Am. Math. Soc. 179 (1973), pp. 71–84. MR 315351 Zbl 0268.33015 article

[57] : “Grünbaum’s inequality for Bessel functions,” J. Math. Anal. Appl. 41 : 1 (January 1973), pp. 122–124. MR 316769 Zbl 0253.33009 article

[58]
:
“Positive Jacobi polynomial sums, III,”
pp. 305–312
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Edited by P. L. Butzer and B. Szökefalvi-Nagy.
International Series on Numerical Mathematics.
Birkhäuser (Basel),
1974.
Part I was published in *Tohoku Math. J.* **24**:2 (1972). Part II was published in *Am. J. Math* **98**:3 (1976).
MR
430359
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incollection

[59]
:
“Certain rational functions whose power series have positive coefficients, II,”
SIAM J. Math. Anal.
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Part I was published in *Am. Math. Monthly* **79**:4 (1972).
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[60] : “Some positive trigonometric sums,” Trans. Am. Math. Soc. 187 (1974), pp. 295–307. MR 338481 Zbl 0244.42002 article

[61] : “Some absolutely monotonic and completely monotonic functions,” SIAM J. Math. Anal. 5 : 1 (1974), pp. 58–63. MR 340935 Zbl 0239.26010 article

[62] : “Positive Cesàro means of numerical series,” Proc. Am. Math. Soc. 45 : 1 (July 1974), pp. 63–68. MR 342900 Zbl 0288.40010 article

[63]
:
“Some absolutely monotonic functions,”
Studia Sci. Math. Hungar.
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372518
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article

[64] : “Jacobi polynomials, I: New proofs of Koornwinder’s Laplace type integral representation and Bateman’s bilinear sum,” SIAM J. Math. Anal. 5 : 1 (1974), pp. 119–124. MR 385197 Zbl 0242.33019 article

[65] : “An integral inequality (Richard Askey),” SIAM Review 16 : 2 (1974), pp. 262–263. article

[66] : “One-sided approximation to special functions,” SIAM Review 16 : 4 (1974), pp. 545–546. article

[67] : “A sine inequality (R. A. Askey),” SIAM Review 16 : 4 (1974), pp. 550–553. article

[68] : A note on the history of series. Technical report 1532, UW-Madison Mathematics Research Center, March 1975. techreport

[69] : “Book reviews: F. Oberhettinger, ‘Tables of Bessel transforms’, ‘Fourier expansions: A collection of formulas’, ‘Fourier transforms of distributions and their inverses: A collection of tables’; F. Oberhettinger and L. Badii, ‘Tables of Laplace transforms’,” SIAM Rev. 17 : 4 (1975), pp. 707–712. article

[70]
:
A derangement problem.
Technical report 1522,
UW-Madison Mathematics Research Center,
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Abstract also published in *Proceedings of the sixth southeastern conference on combinatorics, graph theory, and computation* (1975).
techreport

[71] : A combinatorial sum. Technical report 1557, UW-Madison Mathematics Research Center, July 1975. techreport

[72] Theory and application of special functions (Madison, WI, 21 March–2 April 1975). Edited by R. A. Askey. University of Wisconsin Mathematics Research Center Publications 35. Academic Press (New York), 1975. MR 379915 Zbl 0316.00014 book

[73] : Orthogonal polynomials and special functions. CBMS-NSF Regional Conference Series in Applied Mathematics 21. SIAM (Philadelphia), 1975. MR 481145 Zbl 0298.33008 book

[74] : “Inequalities via fractional integration,” pp. 106–115 in Fractional calculus and its applications (New Haven, CT, 15–16 June 1974). Edited by B. Ross. Lecture Notes in Mathematics 457. Springer (Berlin), 1975. MR 481146 Zbl 0307.26014 incollection

[75] : “A positive sum from summability theory,” J. Approximation Theory 13 : 4 (April 1975), pp. 413–420. Dedicated to G. G. Lorentz on the occasion of his sixty-fifth birthday. MR 369978 Zbl 0295.40008 article

[76] : “Some characteristic functions of unimodal distributions,” J. Math. Anal. Appl. 50 : 3 (June 1975), pp. 465–469. MR 370684 Zbl 0308.60016 article

[77] : “An inequality for Tchebycheff polynomials and extensions,” J. Approximation Theory 14 : 1 (May 1975), pp. 1–11. MR 372285 Zbl 0297.33018 article

[78] : “A derangement problem (abstract),” pp. 639–641 in Proceedings of the sixth southeastern conference on combinatorics, graph theory, and computation (Boca Raton, FL, 17–20 February 1975), vol. 14. Edited by F. Hoffman, R. C. Mullin, R. B. Levow, D. Roselle, R. G. Stanton, and R. S. D. Thomas. Congressus Numerantium. Utilitas Mathematica (Winnipeg), 1975. Also published as a 1975 technical report. Zbl 0337.05011 incollection

[79] : “An integral inequality (R. Askey),” SIAM Review 17 : 4 (1975), pp. 691–693. article

[80] : “Permutation problems and special functions,” Can. J. Math. 28 : 4 (1976), pp. 853–874. MR 406808 Zbl 0313.05005 article

[81] : “A monotonic trigonometric sum,” Am. J. Math. 98 : 2 (1976), pp. 357–365. MR 407513 Zbl 0334.42003 article

[82]
:
“Positive Jacobi polynomial sums, II,”
Am. J. Math.
98 : 3
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Part I was published in *Tohoku Math. J.* **24**:2 (1972). Part III was published in *Linear operators and approximation, II* (1974).
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430358
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article

[83] : “Problem 74-19, “One-sided approximation to special functions’ ’, by R. Askey,” SIAM Rev. 18 : 1 (1976), pp. 121–122. MR 393598 article

[84] : “One-sided approximation to special functions,” SIAM Review 18 : 1 (1976), pp. 121–122. article

[85] : “Gaussian processes on compact symmetric spaces,” Z. Wahrscheinlichkeitstheor. Verw. Geb. 37 : 2 (1976–1977), pp. 127–143. MR 423000 Zbl 0329.60019 article

[86] : “Hypergeometric functions,” pp. 658–659 in Encyclopedia of science and technology, 4th edition, vol. 6. Edited by D. N. Lapedes. McGraw-Hill (New York), 1977. incollection

[87] : “Legendre functions” in Encyclopedia of science and technology, 4th edition, vol. 7. Edited by D. N. Lapedes. McGraw-Hill (New York), 1977. incollection

[88] : “Book review: Y. L. Luke: ‘Mathematical functions and their approximations’,” Math. Comput. 31 : 137 (January 1977), pp. 323. article

[89] : “Special functions” in Encyclopedia of science and technology, 4th edition, vol. 12. Edited by D. N. Lapedes. McGraw-Hill (New York), 1977. incollection

[90] : Symmetry and separation of variables. Encyclopedia of Mathematics and its Applications 4. Addison-Wesley, 1977. With a foreword by Richard Askey. This was reprinted in 2011. MR 460751 Zbl 0368.35002 book

[91] : “Series inversion of some convolution transforms,” J. Math. Anal. Appl. 59 : 1 (1977), pp. 119–129. MR 442607 Zbl 0353.44005 article

[92] : “Convolution structures for Laguerre polynomials,” J. Analyse Math. 31 (1977), pp. 48–68. MR 486692 Zbl 0347.33006 article

[93]
:
“Enumeration of partitions: The role of Eulerian series and __\( q \)__-orthogonal polynomials,”
pp. 3–26
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NATO Advanced Study Institutes Series: Series C, Mathematical and Physical Sciences 31.
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[94] : “Book review, H. Exton, ‘Multiple hypergeometric functions and applications’,” SIAM Rev. 20 : 4 (1978), pp. 874–875. article

[95] : “Arthur Erdélyi,” Appl. Anal. 8 : 1 (1978), pp. 1–10. With addendum by Richard Askey, “Retrospective on the Bateman project” on pp. 5–10. MR 516518 Zbl 0393.01009 article

[96] : “Jacobi’s generating function for Jacobi polynomials,” Proc. Am. Math. Soc. 71 : 2 (September 1978), pp. 243–246. MR 486693 Zbl 0393.33010 article

[97] : “Weighted permutation problems and Laguerre polynomials,” J. Combin. Theory Ser. A 25 : 3 (November 1978), pp. 277–287. MR 514623 Zbl 0405.05008 article

[98]
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“A simple proof of Ramanujan’s summation of the __\( {}_1 \psi_1 \)__,”
Aequationes Math.
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[99]
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“The __\( q \)__-gamma and __\( q \)__-beta functions,”
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[100] : “Book review, B. C. Carlson, ‘Special functions of applied mathematics’,” SIAM Rev. 21 : 3 (1979), pp. 420–421. article

[101] : “Book review, H. Exton, ‘Handbook of hypergeometric integrals: Theory, applications, tables, computer programs’,” SIAM Rev. 21 : 4 (1979), pp. 578. article

[102] : “Book review: G. E. Andrews, ‘The theory of partitions’,” Bull. Am. Math. Soc. (N.S.) 1 : 1 (1979), pp. 203–210. MR 1567111 article

[103]
:
“Some absolutely monotonic functions,”
Acta Math. Acad. Sci. Hungar.
33 : 1–2
(1979),
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To G. Alexits on his 80th birthday.
A possibly related short article with the same title was published in *Studia Sci. Math. Hungar.* **9** (1974).
MR
515116
Zbl
0391.33009
article

[104]
:
“Positivity of the Cotes numbers for some Jacobi abscissas, II,”
J. Inst. Math. Appl.
24 : 1
(1979),
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Part I appeared in *Numer. Math.* **19** (1972).
MR
539375
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0416.65016
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[105]
:
“A set of orthogonal polynomials that generalize the Racah coefficients or __\( 6-j \)__ symbols,”
SIAM J. Math. Anal.
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MR
541097
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[106]
:
“The very well poised __\( {}_6\psi_6 \)__,”
Proc. Am. Math. Soc.
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[107] : “Comment on I. J. Good and R. A. Gaskins, ‘Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering and meteorite data’,” J. Am. Stat. Assoc. 75 : 369 (March 1980), pp. 69. article

[108]
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“Book review, A. M. Mathai and R. K. Saxena, ‘The __\( H \)__ function with applications in statistics and other disciplines’,”
SIAM Rev.
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[109] : “Ramanujan’s extensions of the gamma and beta functions,” Am. Math. Monthly 87 : 5 (May 1980), pp. 346–359. MR 567718 Zbl 0437.33001 article

[110] : “Some basic hypergeometric extensions of integrals of Selberg and Andrews,” SIAM J. Math. Anal. 11 : 6 (1980), pp. 938–951. MR 595822 Zbl 0458.33002 article

[111]
:
“The Rogers __\( q \)__-ultraspherical polynomials,”
pp. 175–182
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Academic Press (New York),
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[112] : “Some extensions of the gamma and beta functions,” Real Anal. Exch. 5 : 1 (1980), pp. 128–131. Zbl 0427.33001 article

[113] : “Problems and solutions: Solutions of problems dedicated to Emory P. Starke: S7,” Amer. Math. Monthly 87 : 5 (1980), pp. 403–404. MR 1539387 article

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“Another __\( q \)__-extension of the beta function,”
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[116] : Collected papers, vol. 1: 1915-1927. Edited by R. Askey. Birkhäuser (Boston), 1982. MR 674482 Zbl 0491.01016 book

[117] : “Book review: L. Lewin, ‘Polylogarithms and associated functions’,” Bull. Am. Math. Soc. (N.S.) 6 : 2 (1982), pp. 248–251. MR 1567360 article

[118] : “Hausdorff’s moment problem and expansions in Legendre polynomials,” J. Math. Anal. Appl. 86 : 1 (March 1982), pp. 237–245. MR 649868 Zbl 0483.44012 article

[119] : “Two integrals of Ramanujan,” Proc. Am. Math. Soc. 85 : 2 (1982), pp. 192–194. MR 652440 Zbl 0503.33001 article

[120] : “A set of hypergeometric orthogonal polynomials,” SIAM J. Math. Anal. 13 : 4 (1982), pp. 651–655. MR 661596 Zbl 0496.33007 article

[121] : “An integral of products of Legendre functions and a Clebsch–Gordan sum,” Lett. Math. Phys. 6 : 4 (1982), pp. 299–302. MR 668464 Zbl 0524.33004 article

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“A __\( q \)__-beta integral associated with __\( BC_1 \)__,”
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[123] : Collected papers, vol. 2: 1927–1943. Edited by R. Askey. Birkhäuser (Boston), 1982. MR 674483 book

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[125] : “An elementary evaluation of a beta type integral,” Indian J. Pure Appl. Math. 14 : 7 (1983), pp. 892–895. MR 714840 Zbl 0523.33001 article

[126] : “A generalization of ultraspherical polynomials,” pp. 55–78 in Studies in pure mathematics: To the memory of Paul Turán. Edited by P. Erdős. Birkhäuser (Basel), 1983. MR 820210 Zbl 0532.33006 incollection

[127] : “Problems and solutions: Advanced problems: 6445–6447,” Amer. Math. Monthly 90 : 10 (1983), pp. 709–710. MR 1540315 article

[128]
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“A __\( q \)__-extension of Cauchy’s beta integral,”
SIAM Rev
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[129] Special functions: Group theoretical aspects and applications. Edited by R. A. Askey, T. H. Koornwinder, and W. Schempp. Mathematics and Its Applications 18. Reidel (Dordrecht), 1984. MR 774053 Zbl 0543.00007 book

[130] : “A recurrence relation generalizing those of Apéry,” J. Austral. Math. Soc. Ser. A 36 : 2 (1984), pp. 267–278. MR 725750 Zbl 0558.33003 article

[131]
:
“The very well poised __\( {}_6\psi_{6} \)__, II,”
Proc. Am. Math. Soc.
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[132] : “Associated Laguerre and Hermite polynomials,” Proc. Roy. Soc. Edinburgh Sect. A 96 : 1–2 (1984), pp. 15–37. MR 741641 Zbl 0547.33006 article

[133] : “Sieved ultraspherical polynomials,” Trans. Am. Math. Soc. 284 : 1 (1984), pp. 39–55. MR 742411 Zbl 0547.33005 article

[134] : Recurrence relations, continued fractions, and orthogonal polynomials. Memoirs of the American Mathematical Society 300. American Mathematical Society (Providence, RI), 1984. MR 743545 Zbl 0548.33001 book

[135] : “Remarks on the preceding paper by Gavin Brown and Edwin Hewitt,” Math. Ann. 268 : 1 (1984), pp. 123–126. MR 744331 Zbl 0553.42001 article

[136]
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“A characterization of the continuous __\( q \)__-ultraspherical polynomials,”
Can. Math. Bull.
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