R. Askey, M. E. H. Ismail, and T. M. T. Rashed :
A derangement problem .
Technical report 1522 ,
UW-Madison Mathematics Research Center ,
June 1975 .
Abstract also published in Proceedings of the sixth southeastern conference on combinatorics, graph theory, and computation (1975) .
techreport
People
BibTeX
@techreport {key91431941,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H. and Rashed, Thanaa M. T.},
TITLE = {A derangement problem},
TYPE = {technical report},
NUMBER = {1522},
INSTITUTION = {UW-Madison Mathematics Research Center},
MONTH = {June},
YEAR = {1975},
PAGES = {15},
NOTE = {Abstract also published in \textit{Proceedings
of the sixth southeastern conference
on combinatorics, graph theory, and
computation} (1975).},
ISSN = {0501-5634},
}
R. Askey and M. E. H. Ismail :
A combinatorial sum .
Technical report 1557 ,
UW-Madison Mathematics Research Center ,
July 1975 .
techreport
People
BibTeX
@techreport {key28151927,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H.},
TITLE = {A combinatorial sum},
TYPE = {technical report},
NUMBER = {1557},
INSTITUTION = {UW-Madison Mathematics Research Center},
MONTH = {July},
YEAR = {1975},
PAGES = {41},
ISSN = {0501-5634},
}
R. Askey, G. Gasper, and M. E.-H. Ismail :
“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
Abstract
People
BibTeX
@article {key369978m,
AUTHOR = {Askey, Richard and Gasper, George and
Ismail, Mourad E.-H.},
TITLE = {A positive sum from summability theory},
JOURNAL = {J. Approximation Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {13},
NUMBER = {4},
MONTH = {April},
YEAR = {1975},
PAGES = {413--420},
DOI = {10.1016/0021-9045(75)90024-6},
NOTE = {Dedicated to G. G. Lorentz on the occasion
of his sixty-fifth birthday. MR:369978.
Zbl:0295.40008.},
ISSN = {0021-9045},
}
R. Askey, M. E. H. Ismail, and T. M. T. Rashed :
“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
People
BibTeX
@incollection {key0337.05011z,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H. and Rashed, Thanaa M. T.},
TITLE = {A derangement problem (abstract)},
BOOKTITLE = {Proceedings of the sixth southeastern
conference on combinatorics, graph theory,
and computation},
EDITOR = {F. Hoffman and R. C. Mullin and R. B.
Levow and D. Roselle and R. G. Stanton
and R. S. D. Thomas},
VOLUME = {14},
SERIES = {Congressus Numerantium},
PUBLISHER = {Utilitas Mathematica},
ADDRESS = {Winnipeg},
YEAR = {1975},
PAGES = {639--641},
NOTE = {(Boca Raton, FL, 17--20 February 1975).
Also published as a 1975 technical report.
Zbl:0337.05011.},
ISBN = {9780919628144},
}
R. Askey and M. E. H. Ismail :
“Permutation problems and special functions ,”
Can. J. Math.
28 : 4
(1976 ),
pp. 853–874 .
MR
406808
Zbl
0313.05005
article
People
BibTeX
@article {key406808m,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H.},
TITLE = {Permutation problems and special functions},
JOURNAL = {Can. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal
Canadien de Math\'ematiques},
VOLUME = {28},
NUMBER = {4},
YEAR = {1976},
PAGES = {853--874},
DOI = {10.4153/CJM-1976-082-8},
NOTE = {MR:406808. Zbl:0313.05005.},
ISSN = {0008-414X},
}
R. Askey, M. E. H. Ismail, and T. Koornwinder :
“Weighted permutation problems and Laguerre polynomials ,”
J. Combin. Theory Ser. A
25 : 3
(November 1978 ),
pp. 277–287 .
MR
514623
Zbl
0405.05008
article
Abstract
People
BibTeX
The connection between integrals of products of Laguerre polynomials, power series coefficients of certain rational functions of several variables, and certain numbers of weighted permutation problems is investigated. A combinatorial proof of our main result would be very desirable since this could lead the way to more general result, \( q \) -analogs, and perhaps even a \( q \) -analog of MacMahon’s Master Theorem.
@article {key514623m,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H. and Koornwinder, Tom},
TITLE = {Weighted permutation problems and {L}aguerre
polynomials},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series
A},
VOLUME = {25},
NUMBER = {3},
MONTH = {November},
YEAR = {1978},
PAGES = {277--287},
DOI = {10.1016/0097-3165(78)90020-1},
NOTE = {MR:514623. Zbl:0405.05008.},
ISSN = {0097-3165},
}
R. Askey and M. E. H. Ismail :
“The very well poised \( {}_6\psi_6 \) ,”
Proc. Am. Math. Soc.
77 : 2
(November 1979 ),
pp. 218–222 .
MR
542088
Zbl
0387.33002
article
Abstract
People
BibTeX
@article {key542088m,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H.},
TITLE = {The very well poised \${}_6\psi_6\$},
JOURNAL = {Proc. Am. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical
Society},
VOLUME = {77},
NUMBER = {2},
MONTH = {November},
YEAR = {1979},
PAGES = {218--222},
DOI = {10.2307/2042642},
NOTE = {MR:542088. Zbl:0387.33002.},
ISSN = {0002-9939},
}
R. A. Askey and M. E. H. Ismail :
“The Rogers \( q \) -ultraspherical polynomials ,”
pp. 175–182
in
Approximation theory, III
(Austin, TX, 8–12 January 1980 ).
Edited by E. W. Cheney .
Academic Press (New York ),
1980 .
MR
602713
Zbl
0479.33013
incollection
People
BibTeX
@incollection {key602713m,
AUTHOR = {Askey, Richard A. and Ismail, Mourad
E. H.},
TITLE = {The {R}ogers \$q\$-ultraspherical polynomials},
BOOKTITLE = {Approximation theory, {III}},
EDITOR = {Cheney, Elliott W.},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1980},
PAGES = {175--182},
NOTE = {(Austin, TX, 8--12 January 1980). MR:602713.
Zbl:0479.33013.},
ISBN = {9780121710507},
}
R. Askey and M. E. H. Ismail :
“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
Abstract
People
BibTeX
Some old polynomials of L. J. Rogers are orthogonal. Their weight function is given. The connection coefficient problem, which Rogers solved by guessing the formula and proving it by induction, is derived in a natural way and some other formulas are obtained. These polynomials generalize zonal spherical harmonics on spheres and include as special cases polynomials that are spherical functions on rank one spaces over reductive \( p \) -adic groups. A limiting case contains some Jacobi polynomials studied by Hylleraas that arose in work on the Yukawa potential.
@incollection {key820210m,
AUTHOR = {Askey, R. and Ismail, Mourad E. H.},
TITLE = {A generalization of ultraspherical polynomials},
BOOKTITLE = {Studies in pure mathematics: {T}o the
memory of {P}aul {T}ur\'an},
EDITOR = {Erd\H{o}s, Paul},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1983},
PAGES = {55--78},
DOI = {10.1007/978-3-0348-5438-2_6},
NOTE = {MR:820210. Zbl:0532.33006.},
ISBN = {9783034854382},
}
R. Askey and M. Ismail :
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
People
BibTeX
@book {key743545m,
AUTHOR = {Askey, Richard and Ismail, Mourad},
TITLE = {Recurrence relations, continued fractions,
and orthogonal polynomials},
SERIES = {Memoirs of the American Mathematical
Society},
NUMBER = {300},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1984},
PAGES = {iv+108},
DOI = {10.1090/memo/0300},
NOTE = {MR:743545. Zbl:0548.33001.},
ISSN = {0065-9266},
ISBN = {9780821823019},
}
R. Askey and M. E. H. Ismail :
“Problems and solutions: Solutions of advanced problems: 6445 ,”
Amer. Math. Monthly
92 : 4
(1985 ),
pp. 294 .
MR
1540629
article
People
BibTeX
@article {key1540629m,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H.},
TITLE = {Problems and solutions: Solutions of
advanced problems: 6445},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {American Mathematical Monthly},
VOLUME = {92},
NUMBER = {4},
YEAR = {1985},
PAGES = {294},
DOI = {10.2307/2323663},
NOTE = {MR:1540629.},
ISSN = {0002-9890},
}
Special issue dedicated to Richard A. Askey on the occasion of his 65th birthday, I ,
published as Methods Appl. Anal.
6 : 1 .
Issue edited by M. E. H. Ismail and D. Stanton .
International Press (Somerville, MA ),
1999 .
MR
1801153
Zbl
0928.00069
book
People
BibTeX
@book {key1801153m,
TITLE = {Special issue dedicated to {R}ichard
{A}. {A}skey on the occasion of his
65th birthday, {I}},
EDITOR = {Ismail, Mourad E. H. and Stanton, Dennis},
PUBLISHER = {International Press},
ADDRESS = {Somerville, MA},
YEAR = {1999},
PAGES = {127},
URL = {https://www.intlpress.com/site/pub/pages/journals/items/maa/content/vols/0006/0001/index.php},
NOTE = {Published as \textit{Methods Appl. Anal.}
\textbf{6}:1. MR:1801153. Zbl:0928.00069.},
ISSN = {1073-2772},
}
Special issue dedicated to Richard A. Askey on the occasion of his 65th birthday, II ,
published as Methods Appl. Anal.
6 : 2 .
Issue edited by M. E. H. Ismail and D. Stanton .
International Press (Somerville, MA ),
1999 .
MR
1801154
Zbl
0953.00050
book
People
BibTeX
@book {key1801154m,
TITLE = {Special issue dedicated to {R}ichard
{A}. {A}skey on the occasion of his
65th birthday, {II}},
EDITOR = {Ismail, Mourad E. H. and Stanton, Dennis},
PUBLISHER = {International Press},
ADDRESS = {Somerville, MA},
YEAR = {1999},
PAGES = {128--256},
URL = {https://www.intlpress.com/site/pub/pages/journals/items/maa/content/vols/0006/0002/index.php},
NOTE = {Published as \textit{Methods Appl. Anal.}
\textbf{6}:2. MR:1801154. Zbl:0953.00050.},
ISSN = {1073-2772},
}
Special issue dedicated to Richard A. Askey on the occasion of his 65th birthday, III ,
published as Methods Appl. Anal.
6 : 3 .
Issue edited by M. E. H. Ismail and D. Stanton .
International Press (Somerville, MA ),
1999 .
MR
1801155
book
People
BibTeX
@book {key1801155m,
TITLE = {Special issue dedicated to {R}ichard
{A}. {A}skey on the occasion of his
65th birthday, {III}},
EDITOR = {Ismail, Mourad E. H. and Stanton, Dennis},
PUBLISHER = {International Press},
ADDRESS = {Somerville, MA},
YEAR = {1999},
PAGES = {257--420},
URL = {https://www.intlpress.com/site/pub/pages/journals/items/maa/content/vols/0006/0003/index.php},
NOTE = {Published as \textit{Methods Appl. Anal.}
\textbf{6}:3. MR:1801155.},
ISSN = {1073-2772},
}
G. Gasper, M. E. H. Ismail, T. Koornwinder, P. Nevai, and D. Stanton :
“The mathematical contributions of Richard Askey ,”
pp. 1–18
in
\( q \) -Series from a contemporary perspective
(South Hadley, MA, 21–25 June 1998 ).
Edited by M. E. H. Ismail and D. W. Stanton .
Contemporary Mathematics 254 .
American Mathematical Society (Providence, RI ),
2000 .
MR
1768919
Zbl
0953.01015
incollection
People
BibTeX
@incollection {key1768919m,
AUTHOR = {Gasper, George and Ismail, Mourad E.
H. and Koornwinder, Tom and Nevai, Paul
and Stanton, Dennis},
TITLE = {The mathematical contributions of {R}ichard
{A}skey},
BOOKTITLE = {\$q\$-{S}eries from a contemporary perspective},
EDITOR = {Ismail, Mourad E. H. and Stanton, Dennis
W.},
SERIES = {Contemporary Mathematics},
NUMBER = {254},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {1--18},
NOTE = {(South Hadley, MA, 21--25 June 1998).
MR:1768919. Zbl:0953.01015.},
ISSN = {0271-4132},
ISBN = {9780821811504},
}
M. E. H. Ismail and D. W. Stanton :
“Curriculum vitae of Richard A. Askey ,”
pp. 19–29
in
\( q \) -Series from a contemporary perspective
(South Hadley, MA, 21–25 June 1998 ).
Edited by M. E. H. Ismail and D. W. Stanton .
Contemporary Mathematics 254 .
American Mathematical Society (Providence, RI ),
2000 .
MR
1768920
Zbl
0953.01016
incollection
People
BibTeX
@incollection {key1768920m,
AUTHOR = {Ismail, Mourad E. H. and Stanton, Dennis
W.},
TITLE = {Curriculum vitae of {R}ichard {A}. {A}skey},
BOOKTITLE = {\$q\$-{S}eries from a contemporary perspective},
EDITOR = {Ismail, Mourad E. H. and Stanton, Dennis
W.},
SERIES = {Contemporary Mathematics},
NUMBER = {254},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {19--29},
NOTE = {(South Hadley, MA, 21--25 June 1998).
MR:1768920. Zbl:0953.01016.},
ISSN = {0271-4132},
ISBN = {9780821811504},
}
R. Askey, M. E. H. Ismail, and W. Van Assche :
“Ted Chihara and his work on orthogonal polynomials ,”
pp. 1–11
in
Proceedings of the fifth international symposium on orthogonal polynomials, special functions and their applications
(Patras, Greece, 20–24 September 1999 ),
published as J. Comput. Appl. Math.
133 : 1–2 .
Issue edited by P. D. Siafarikas .
Elsevier (Amsterdam ),
2001 .
MR
1858266
Zbl
0999.01023
incollection
People
BibTeX
@article {key1858266m,
AUTHOR = {Askey, R. and Ismail, M. E. H. and Van
Assche, W.},
TITLE = {Ted {C}hihara and his work on orthogonal
polynomials},
JOURNAL = {J. Comput. Appl. Math.},
FJOURNAL = {Journal of Computational and Applied
Mathematics},
VOLUME = {133},
NUMBER = {1--2},
YEAR = {2001},
PAGES = {1--11},
DOI = {10.1016/S0377-0427(00)00631-2},
NOTE = {\textit{Proceedings of the fifth international
symposium on orthogonal polynomials,
special functions and their applications}
(Patras, Greece, 20--24 September 1999).
Issue edited by P. D. Siafarikas.
MR:1858266. Zbl:0999.01023.},
ISSN = {0377-0427},
}
R. Askey, M. E. H. Ismail, and E. Koelink :
“Mizan Rahman, his mathematics and literary writings ,”
pp. 1–28
in
Theory and applications of special functions
(Baltimore, MD, 15–18 January 2003 ).
Edited by M. E. H. Ismail and E. Koelink .
Developments in Mathematics 13 .
Springer (New York ),
2005 .
With contributions by Babu S. Rahman, Raja A. Rahman, Michael Hoare and Steve Milne.
MR
2132456
Zbl
1219.01024
incollection
Abstract
People
BibTeX
In this article we mainly discuss some of Mizan’s mathematical results which are most striking and influential, at least in our opinion. Needless to say, we cannot achieve completeness since Mizan has written so many interesting papers.
@incollection {key2132456m,
AUTHOR = {Askey, Richard and Ismail, Mourad E.
H. and Koelink, Erik},
TITLE = {Mizan {R}ahman, his mathematics and
literary writings},
BOOKTITLE = {Theory and applications of special functions},
EDITOR = {Ismail, Mourad E. H. and Koelink, Erik},
SERIES = {Developments in Mathematics},
NUMBER = {13},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2005},
PAGES = {1--28},
DOI = {10.1007/0-387-24233-3_1},
NOTE = {(Baltimore, MD, 15--18 January 2003).
With contributions by Babu S. Rahman,
Raja A. Rahman, Michael Hoare and Steve
Milne. MR:2132456. Zbl:1219.01024.},
ISSN = {1389-2177},
ISBN = {9780387242330},
}
Special issue dedicated to Dick Askey on the occasion of his 80th birthday ,
published as J. Approx. Theory
193 .
Issue edited by M. Ismail, T. Koornwinder, P. Nevai, W. Van Assche, and O. Warnaar .
Elsevier (San Diego, CA ),
May 2015 .
book
People
BibTeX
@book {key35068102,
TITLE = {Special issue dedicated to {D}ick {A}skey
on the occasion of his 80th birthday},
EDITOR = {Ismail, Mourad and Koornwinder, Tom
and Nevai, Paul and Van Assche, Walter
and Warnaar, Ole},
PUBLISHER = {Elsevier},
ADDRESS = {San Diego, CA},
MONTH = {May},
YEAR = {2015},
PAGES = {210},
URL = {https://www.sciencedirect.com/journal/journal-of-approximation-theory/vol/193/suppl/C},
NOTE = {Published as \textit{J. Approx. Theory}
\textbf{193}.},
ISSN = {0021-9045},
}
T. Koornwinder, W. Van Assche, and O. Warnaar :
“A tribute to Dick Askey ,”
pp. 1–3
in
Special issue dedicated to Dick Askey on the occasion of his 80th birthday ,
published as J. Approx. Theory
193 .
Issue edited by M. Ismail, T. Koornwinder, P. Nevai, W. Van Assche, and O. Warnaar .
Elsevier (San Diego, CA ),
May 2015 .
MR
3324559
Zbl
1315.01039
ArXiv
1909.10508
incollection
People
BibTeX
@article {key3324559m,
AUTHOR = {Koornwinder, Tom and Van Assche, Walter
and Warnaar, Ole},
TITLE = {A tribute to {D}ick {A}skey},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {193},
MONTH = {May},
YEAR = {2015},
PAGES = {1--3},
DOI = {10.1016/j.jat.2015.03.001},
NOTE = {\textit{Special issue dedicated to {D}ick
{A}skey on the occasion of his 80th
birthday}. Issue edited by M. Ismail,
T. Koornwinder, P. Nevai,
W. Van Assche, and O. Warnaar.
ArXiv:1909.10508. MR:3324559. Zbl:1315.01039.},
ISSN = {0021-9045},
}
R. Askey :
“Mourad Ismail ,”
pp. 1–5
in
Frontiers in orthogonal polynomials and \( q \) -series
(Orlando, FL, 10–12 May 2015 ).
Edited by M. Z. Nashed and X. Li .
Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes 1 .
World Scientific (Hackensack, NJ ),
2018 .
MR
3791606
Zbl
1414.33002
incollection
People
BibTeX
@incollection {key3791606m,
AUTHOR = {Askey, Richard},
TITLE = {Mourad {I}smail},
BOOKTITLE = {Frontiers in orthogonal polynomials
and \$q\$-series},
EDITOR = {Nashed, M. Zuhair and Li, Xin},
SERIES = {Contemporary Mathematics and Its Applications:
Monographs, Expositions and Lecture
Notes},
NUMBER = {1},
PUBLISHER = {World Scientific},
ADDRESS = {Hackensack, NJ},
YEAR = {2018},
PAGES = {1--5},
DOI = {10.1142/9789813228887_0001},
NOTE = {(Orlando, FL, 10--12 May 2015). MR:3791606.
Zbl:1414.33002.},
ISSN = {2591-7668},
ISBN = {9789813228870},
}