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## Askey, Richard Allen

Compute Distance To:
 Author ID: askey.richard-a Published as: Askey, Richard; Askey, R.; Askey, Richard A.; Askey, R. A.; Askey, Richard A. (Dick); Askey, Richard Allen; Askey, Dick Homepage: http://www.math.wisc.edu/~askey/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
 Documents Indexed: 157 Publications since 1959, including 10 Books Reviewing Activity: 188 Reviews Biographic References: 8 Publications
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#### Co-Authors

 89 single-authored 11 Ismail, Mourad El-Houssieny 8 Gasper, George Jun 7 Andrews, George Eyre 7 Wainger, Stephen 4 Fitch, James 4 Koornwinder, Tom H. 4 Suslov, Sergei K. 4 Wilson, James A. 3 Al-Salam, Waleed A. 3 Allaway, William R. 3 Roy, Ranjan 2 Boas, Ralph Philip jun. 2 Hirschman, Isidore Isaac jun. 2 Rahman, Mizan 2 Steinig, John 2 Tepper Haimo, Deborah 1 Atakishiev, Natig M. 1 Berndt, Bruce Carl 1 Bingham, Nicholas Hugh 1 de Boor, Carl 1 Harris, Lawrence A. 1 Karlin, Samuel 1 Koelink, Erik 1 Nevai, Paul G. 1 Pollard, Harry 1 Ramanathan, Kollagunta G. 1 Rankin, Robert Alexander 1 Rashed, Thanaa M. T. 1 Razban, Behzad 1 Regev, Amitai 1 Schempp, Walter Johannes 1 Schoenberg, Isaac Jacob 1 Sharma, Ambikeshwar 1 Van Assche, Walter 1 Wimp, Jet
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#### Serials

 10 Proceedings of the American Mathematical Society 8 SIAM Journal on Mathematical Analysis 7 Journal of Mathematical Analysis and Applications 7 Journal of Approximation Theory 5 American Mathematical Monthly 4 American Journal of Mathematics 4 Journal of Computational and Applied Mathematics 4 Transactions of the American Mathematical Society 3 Journal d’Analyse Mathématique 3 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Letters in Mathematical Physics 2 Canadian Journal of Mathematics 2 Illinois Journal of Mathematics 2 Indian Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Journal of Physics A: Mathematical and General 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin of the American Mathematical Society 2 Encyclopedia of Mathematics and Its Applications 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Acta Scientiarum Mathematicarum 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Real Analysis Exchange 1 SIAM Journal on Numerical Analysis 1 Simon Stevin 1 Studia Scientiarum Mathematicarum Hungarica 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 European Journal of Combinatorics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Symbolic Computation 1 CWI Quarterly 1 Aequationes Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Computational Methods and Function Theory 1 Proceedings of the Cambridge Philosophical Society 1 Bollettino della Unione Matematica Italiana. Series III 1 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
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#### Fields

 104 Special functions (33-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 12 History and biography (01-XX) 9 Combinatorics (05-XX) 9 Sequences, series, summability (40-XX) 7 Number theory (11-XX) 7 Real functions (26-XX) 6 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

130 Publications have been cited 2,999 times in 2,319 Documents Cited by Year
Special functions. Zbl 0920.33001
Andrews, George E.; Askey, Richard; Roy, Ranjan
1999
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Zbl 0572.33012
Askey, Richard; Wilson, James
1985
Oethogonal polynomials and special functions. Zbl 0298.33008
1975
A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols. Zbl 0437.33014
Askey, Richard; Wilson, James
1979
Recurrence relations, continued fractions and orthogonal polynomials. Zbl 0548.33001
1984
Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301
Askey, R.; Wainger, S.
1965
The q-gamma and q-beta functions. Zbl 0398.33001
1978
Special functions. Paperback ed. Zbl 1075.33500
Andrews, George E.; Askey, Richard; Roy, Ranjan
2000
Some absolutely monotonic functions. Zbl 0298.26010
1975
Some basic hypergeometric extensions of integrals of Selberg and Andrews. Zbl 0458.33002
1980
Integral representations for Jacobi polynomials and some applications. Zbl 0172.08803
Askey, R.; Fitch, J.
1969
Ramanujan’s extensions of the gamma and beta functions. Zbl 0437.33001
1980
Associated Laguerre and Hermite polynomials. Zbl 0547.33006
Askey, Richard; Wimp, Jet
1984
A generalization of ultraspherical polynomials. Zbl 0532.33006
1983
Mean convergence of orthogonal series and Lagrange interpolation. Zbl 0253.41003
1972
Orthogonal polynomials and positivity. Zbl 0188.12402
1969
A convolution structure for Jacobi series. Zbl 0186.12303
Askey, R.; Wainger, S.
1969
Another q-extension of the beta function. Zbl 0471.33001
Andrews, George E.; Askey, Richard
1981
Sieved ultraspherical polynomials. Zbl 0547.33005
Al-Salam, Waleed; Allaway, W. R.; Askey, Richard
1984
Some positive trigonometric sums. Zbl 0244.42002
Askey, Richard; Steinig, John
1974
Integrability theorems for Fourier series. Zbl 0136.36501
Askey, R.; Wainger, S.
1966
A set of hypergeometric orthogonal polynomials. Zbl 0496.33007
Askey, Richard; Wilson, James
1982
Positive Jacobi polynomial sum. II. Zbl 0355.33005
Askey, Richard; Gasper, George
1976
Continuous Hahn polynomials. Zbl 0582.33007
1985
Convolution structures for Laguerre polynomials. Zbl 0347.33006
Askey, Richard; Gasper, George
1977
On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403
Askey, R.; Wainger, S.
1965
Mean summability for ultraspherical polynomials. Zbl 0132.29501
Askey, R.; Hirschman, I. I. jun.
1963
Summability of Jacobi series. Zbl 0268.33015
1973
On a general $$q$$-Fourier transformation with nonsymmetric kernels. Zbl 0871.33008
Askey, Richard A.; Rahman, Mizan; Suslov, Sergej K.
1996
Grünbaum’s inequality for Bessel functions. Zbl 0253.33009
1973
Linearization of the product of Jacobi polynomials. III. Zbl 0212.40904
Askey, R.; Gasper, G.
1971
Classical orthogonal polynomials. Zbl 0596.33016
Andrews, George E.; Askey, Richard
1985
Enumeration of partitions: the role of Eulerian series and $$q$$-orthogonal polynomials. Zbl 0381.10008
Andrews, George E.; Askey, Richard
1977
A simple proof of Ramanujan’s summation of the $$_1\Psi_1$$. Zbl 0401.33002
Andrews, George E.; Askey, Richard
1978
Permutation problems and special functions. Zbl 0313.05005
1976
More q-beta integrals. Zbl 0599.33002
Askey, Richard; Roy, Ranjan
1986
The $$q$$-harmonic oscillator and the Al-Salam and Carlitz polynomials. Zbl 0919.33010
Askey, R.; Suslov, S. K.
1993
Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients. Zbl 0217.11402
Askey, R.; Gasper, G.
1971
Gaussian processes on compact symmetric spaces. Zbl 0329.60019
Askey, R.; Bingham, N. H.
1976
A transplantation theorem between ultraspherical series. Zbl 0135.27603
Askey, R.; Wainger, S.
1966
A transplantation theorem for Jacobi series. Zbl 0174.35303
1969
Ramanujan and hypergeometric and basic hypergeometric series. Zbl 0722.33009
1990
Certain rational functions whose power series have positive coefficients. Zbl 0242.33023
Askey, Richard; Gasper, George
1972
A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201
Askey, R.; Wainger, S.
1966
Evaluation of Sylvester type determinants using orthogonal polynomials. Zbl 1090.15007
2005
Orthogonal expansions with positive coefficients. Zbl 0136.05103
1965
Positivity of the Cotes numbers for some ultraspherical abscissas. Zbl 0169.08301
Askey, R.; Fitch, J.
1968
Some absolutely monotonic and completely monotonic functions. Zbl 0239.26010
Askey, Richard; Pollard, Harry
1974
A q-extension of Cauchy’s form of the beta integral. Zbl 0463.33003
1981
Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012
Askey, R.; Schoenberg, I. J.; Sharma, A.
1982
A q-beta integral associated with $$BC_ 1$$. Zbl 0501.33002
1982
An elementary evaluation of a beta type integral. Zbl 0523.33001
1983
Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces. Zbl 0167.35003
1968
Weighted permutation problems and Laguerre polynomials. Zbl 0405.05008
Askey, Richard; Ismail, Mourad E. H.; Koornwinder, Tom
1978
The very well-poised Psi(6,6). Zbl 0412.33005
1979
Positivity of the Cotes numbers for some Jacobi abscissas. Zbl 0237.65012
1972
An integral of Ramanujan and orthogonal polynomials. Zbl 0665.33001
1987
Divided difference operators and classical orthogonal polynomials. Zbl 0696.33008
1989
Norm inequalities for some orthogonal series. Zbl 0173.06703
1966
A dual convolution structure for Jacobi polynomials. Zbl 0174.36305
Askey, R.; Wainger, S.
1968
Special functions: Group theoretical aspects and applications. Zbl 0543.00007
Askey, R. A. (ed.); Koornwinder, T. H. (ed.); Schempp, Walter (ed.)
1984
Problems which interest and/or annoy me. Zbl 0797.33006
1993
Jacobi polynomials. I: New proofs of Koornwinder’s Laplace type integral representation and Bateman’s bilinear sum. Zbl 0242.33019
1974
The very well-poised $$_6\Psi_6$$. Zbl 0387.33002
Askey, R. A.; Ismail, Mourad E. H.
1979
Vietoris’s inequalities and hypergeometric series. Zbl 0899.33002
1998
Finite differences and orthogonal polynomials. Zbl 0801.33005
1994
Continuous q-Hermite polynomials when $$q>1$$. Zbl 0694.33006
1989
A transplantation theorem for Jacobi coefficients. Zbl 0172.08601
1967
Dual equations and classical orthogonal polynomials. Zbl 0185.12601
1968
Jacobi’s generating function for Jacobi polynomials. Zbl 0393.33010
1978
Limits of some q-Laguerre polynomials. Zbl 0641.33018
1986
Similarities between Fourier and power series. Zbl 0854.33005
Askey, Richard; Haimo, Deborah Tepper
1996
Two integrals of Ramanujan. Zbl 0503.33001
1982
Linearization of the product of orthogonal polynomials. Zbl 0212.41001
1970
Orthogonal polynomials and theta functions. Zbl 0675.33006
1989
Positivity of the cotes numbers for some Jacobi abscissas. II. Zbl 0416.65016
1979
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
1986
An analog of the Fourier transformation for a $$q$$-harmonic oscillator. Zbl 0863.33020
Askey, R.; Atakishiyev, N. M.; Suslov, S. K.
1993
The $$q$$-harmonic oscillator and an analogue of the Charlier polynomials. Zbl 0859.33021
Askey, R.; Suslov, S. K.
1993
Positive Jacobi polynomial sums. Zbl 0237.33010
1972
A positive sum from summability theory. Zbl 0295.40008
Askey, Richard; Gasper, George; Ismail, Mourad E.-H.
1975
An integral for Jacobi polynomials. Zbl 0308.33006
1973
Smoothness conditions for Fourier series with monotone coefficients. Zbl 0172.34701
1967
On a positive trigonometric sum. Zbl 0174.35704
Askey, R.; Fitch, J.; Gasper, G.
1968
Orthogonal expansions with positive coefficients. II. Zbl 0202.35302
1971
Maximal degrees for Young diagrams in a strip. Zbl 0555.05009
Askey, Richard; Regev, Amitai
1984
Some elementary integrability theorems for special transforms. Zbl 0212.41402
Askey, R.; Karlin, S.
1970
Beta integrals and q-extensions. Zbl 0697.33002
1988
Certain rational functions whose power series have positive coefficients. II. Zbl 0291.33010
1974
Some characteristic functions of unimodal distributions. Zbl 0308.60016
1975
Weighted quadratic norms and ultra-spherical polynomials. I. Zbl 0199.46701
Askey, R.; Hirschman, I. jun.
1959
Beta integrals in Ramanujan’s papers, his unpublished work and further examples. Zbl 0648.33001
1988
A recurrence relation generalizing those of Apéry. Zbl 0558.33003
Askey, Richard; Wilson, J. A.
1984
The work of George Andrews: a Madison perspective. Zbl 1041.01505
1999
Ted Chihara and his work on orthogonal polynomials. Zbl 0999.01023
Askey, R.; Ismail, M. E. H.; Van Assche, W.
2001
A look at the Bateman project. Zbl 0837.33001
1994
The Rogers q-ultraspherical polynomials. Zbl 0479.33013
Askey, Richard A.; Ismail, Mourad E. H.
1980
The very well poised $$_6\psi_6$$. II. Zbl 0509.33001
1983
Some integrability theorems for power series with positive coefficients. Zbl 0212.41401
Askey, R.; Boas, R. P. jun.
1970
An integral of products of Legendre functions and a Clebsch-Gordan sum. Zbl 0524.33004
1982
Completing Brahmagupta’s extension of Ptolemy’s theorem. Zbl 1322.01005
2010
Evaluation of Sylvester type determinants using orthogonal polynomials. Zbl 1090.15007
2005
The 1839 paper of permutations: its relation to the Rodrigues formula and further developments. Zbl 1130.01006
2005
Ted Chihara and his work on orthogonal polynomials. Zbl 0999.01023
Askey, R.; Ismail, M. E. H.; Van Assche, W.
2001
Special functions. Paperback ed. Zbl 1075.33500
Andrews, George E.; Askey, Richard; Roy, Ranjan
2000
Special functions. Zbl 0920.33001
Andrews, George E.; Askey, Richard; Roy, Ranjan
1999
The work of George Andrews: a Madison perspective. Zbl 1041.01505
1999
Vietoris’s inequalities and hypergeometric series. Zbl 0899.33002
1998
On a general $$q$$-Fourier transformation with nonsymmetric kernels. Zbl 0871.33008
Askey, Richard A.; Rahman, Mizan; Suslov, Sergej K.
1996
Similarities between Fourier and power series. Zbl 0854.33005
Askey, Richard; Haimo, Deborah Tepper
1996
Dedication: Remembering Paul Turán. Zbl 0856.01047
1996
Gabor Szegö: 1895–1985. Zbl 0873.01030
Askey, Richard; Nevai, Paul
1996
Finite differences and orthogonal polynomials. Zbl 0801.33005
1994
A look at the Bateman project. Zbl 0837.33001
1994
Gaussian quadrature in Ramanujan’s second notebook. Zbl 0794.41022
1994
The $$q$$-harmonic oscillator and the Al-Salam and Carlitz polynomials. Zbl 0919.33010
Askey, R.; Suslov, S. K.
1993
Problems which interest and/or annoy me. Zbl 0797.33006
1993
An analog of the Fourier transformation for a $$q$$-harmonic oscillator. Zbl 0863.33020
Askey, R.; Atakishiyev, N. M.; Suslov, S. K.
1993
The $$q$$-harmonic oscillator and an analogue of the Charlier polynomials. Zbl 0859.33021
Askey, R.; Suslov, S. K.
1993
Ramanujan and hypergeometric and basic hypergeometric series. Zbl 0722.33009
1990
Graphs as an aid to understanding special functions. Zbl 0694.33002
1990
Relative extrema of Legendre functions of the second kind. Zbl 0698.33006
1990
Divided difference operators and classical orthogonal polynomials. Zbl 0696.33008
1989
Continuous q-Hermite polynomials when $$q>1$$. Zbl 0694.33006
1989
Orthogonal polynomials and theta functions. Zbl 0675.33006
1989
Variants of Clausen’s formula for the square of a special $$_ 2F_ 1$$. Zbl 0756.33002
1989
Selberg’s second beta integral and an integral of Mehta. Zbl 0683.33001
Askey, Richard; Richards, Donald
1989
Beta integrals and the associated orthogonal polynomials. Zbl 0683.33002
1989
Beta integrals and q-extensions. Zbl 0697.33002
1988
Beta integrals in Ramanujan’s papers, his unpublished work and further examples. Zbl 0648.33001
1988
Ramanujan revisited. Proceedings of the centenary conference, University of Illinois at Urbana-Champaign, June 1–5, 1987. Zbl 0635.00003
Andrews, George E.; Askey, Richard A.; Berndt, Bruce C.; Ramanathan, K. G.; Rankin, Robert A.
1988
An integral of Ramanujan and orthogonal polynomials. Zbl 0665.33001
1987
More q-beta integrals. Zbl 0599.33002
Askey, Richard; Roy, Ranjan
1986
Limits of some q-Laguerre polynomials. Zbl 0641.33018
1986
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
1986
Positive quadrature methods and positive polynomial sums. Zbl 0613.41027
1986
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Zbl 0572.33012
Askey, Richard; Wilson, James
1985
Continuous Hahn polynomials. Zbl 0582.33007
1985
Classical orthogonal polynomials. Zbl 0596.33016
Andrews, George E.; Askey, Richard
1985
Appendix. Zbl 0589.33003
1985
Some problems about special functions and computations. Zbl 0596.33001
1985
Recurrence relations, continued fractions and orthogonal polynomials. Zbl 0548.33001
1984
Associated Laguerre and Hermite polynomials. Zbl 0547.33006
Askey, Richard; Wimp, Jet
1984
Sieved ultraspherical polynomials. Zbl 0547.33005
Al-Salam, Waleed; Allaway, W. R.; Askey, Richard
1984
Special functions: Group theoretical aspects and applications. Zbl 0543.00007
Askey, R. A.; Koornwinder, T. H.; Schempp, Walter
1984
Maximal degrees for Young diagrams in a strip. Zbl 0555.05009
Askey, Richard; Regev, Amitai
1984
A recurrence relation generalizing those of Apéry. Zbl 0558.33003
Askey, Richard; Wilson, J. A.
1984
A characterization of the continuous q-ultraspherical polynomials. Zbl 0537.33004
Al-Salam, Walleed; Allaway, W. R.; Askey, Richard
1984
Remarks on the preceding paper by Gavin Brown and Edwin Hewitt. Zbl 0553.42001
1984
Orthogonal polynomials and some definite integrals. Zbl 0562.33007
1984
A generalization of ultraspherical polynomials. Zbl 0532.33006
1983
An elementary evaluation of a beta type integral. Zbl 0523.33001
1983
The very well poised $$_6\psi_6$$. II. Zbl 0509.33001
1983
A set of hypergeometric orthogonal polynomials. Zbl 0496.33007
Askey, Richard; Wilson, James
1982
Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012
Askey, R.; Schoenberg, I. J.; Sharma, A.
1982
A q-beta integral associated with $$BC_ 1$$. Zbl 0501.33002
1982
Two integrals of Ramanujan. Zbl 0503.33001
1982
An integral of products of Legendre functions and a Clebsch-Gordan sum. Zbl 0524.33004
1982
Another q-extension of the beta function. Zbl 0471.33001
Andrews, George E.; Askey, Richard
1981
A q-extension of Cauchy’s form of the beta integral. Zbl 0463.33003
1981
Some basic hypergeometric extensions of integrals of Selberg and Andrews. Zbl 0458.33002
1980
Ramanujan’s extensions of the gamma and beta functions. Zbl 0437.33001
1980
The Rogers q-ultraspherical polynomials. Zbl 0479.33013
Askey, Richard A.; Ismail, Mourad E. H.
1980
A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols. Zbl 0437.33014
Askey, Richard; Wilson, James
1979
The very well-poised Psi(6,6). Zbl 0412.33005
1979
The very well-poised $$_6\Psi_6$$. Zbl 0387.33002
Askey, R. A.; Ismail, Mourad E. H.
1979
Positivity of the cotes numbers for some Jacobi abscissas. II. Zbl 0416.65016
1979
Some absolutely monotonic functions. Zbl 0391.33009
1979
The q-gamma and q-beta functions. Zbl 0398.33001
1978
A simple proof of Ramanujan’s summation of the $$_1\Psi_1$$. Zbl 0401.33002
Andrews, George E.; Askey, Richard
1978
Weighted permutation problems and Laguerre polynomials. Zbl 0405.05008
Askey, Richard; Ismail, Mourad E. H.; Koornwinder, Tom
1978
Jacobi’s generating function for Jacobi polynomials. Zbl 0393.33010
1978
Convolution structures for Laguerre polynomials. Zbl 0347.33006
Askey, Richard; Gasper, George
1977
Enumeration of partitions: the role of Eulerian series and $$q$$-orthogonal polynomials. Zbl 0381.10008
Andrews, George E.; Askey, Richard
1977
Positive Jacobi polynomial sum. II. Zbl 0355.33005
Askey, Richard; Gasper, George
1976
Permutation problems and special functions. Zbl 0313.05005
1976
Gaussian processes on compact symmetric spaces. Zbl 0329.60019
Askey, R.; Bingham, N. H.
1976
A monotonic trigonometric sum. Zbl 0334.42003
Askey, Richard; Steinig, John
1976
Oethogonal polynomials and special functions. Zbl 0298.33008
1975
Some absolutely monotonic functions. Zbl 0298.26010
1975
A positive sum from summability theory. Zbl 0295.40008
Askey, Richard; Gasper, George; Ismail, Mourad E.-H.
1975
Some characteristic functions of unimodal distributions. Zbl 0308.60016
1975
Inequalities via fractional integration. Zbl 0307.26014
1975
A derangement problem. Zbl 0337.05011
Askey, Richard; Ismail, Mourad E. H.; Rashed, Thanaa M. T.
1975
Some positive trigonometric sums. Zbl 0244.42002
Askey, Richard; Steinig, John
1974
Some absolutely monotonic and completely monotonic functions. Zbl 0239.26010
Askey, Richard; Pollard, Harry
1974
Jacobi polynomials. I: New proofs of Koornwinder’s Laplace type integral representation and Bateman’s bilinear sum. Zbl 0242.33019
1974
Certain rational functions whose power series have positive coefficients. II. Zbl 0291.33010
1974
Positive Cesaro means of numerical series. Zbl 0288.40010
1974
Summability of Jacobi series. Zbl 0268.33015
1973
Grünbaum’s inequality for Bessel functions. Zbl 0253.33009
1973
An integral for Jacobi polynomials. Zbl 0308.33006
1973
Refinements of Abel summability for Jacobi series. Zbl 0282.43008
1973
Mean convergence of orthogonal series and Lagrange interpolation. Zbl 0253.41003
1972
Certain rational functions whose power series have positive coefficients. Zbl 0242.33023
Askey, Richard; Gasper, George
1972
Positivity of the Cotes numbers for some Jacobi abscissas. Zbl 0237.65012
1972
Positive Jacobi polynomial sums. Zbl 0237.33010
1972
Jacobi summability. Zbl 0234.40016
1972
Linearization of the product of Jacobi polynomials. III. Zbl 0212.40904
Askey, R.; Gasper, G.
1971
Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients. Zbl 0217.11402
Askey, R.; Gasper, G.
1971
...and 30 more Documents
all top 5

#### Cited by 2,200 Authors

 71 Ismail, Mourad El-Houssieny 29 Askey, Richard Allen 22 Rahman, Mizan 20 Alzer, Horst 19 Stanton, Dennis W. 17 Chu, Wenchang 17 Koelink, Erik 17 Koepf, Wolfram A. 17 Spiridonov, Vyacheslav Pavlovich 17 Suslov, Sergei K. 17 Terwilliger, Paul M. 16 Area, Iván 16 Godoy, Eduardo Paciência 16 Koornwinder, Tom H. 16 Nevai, Paul G. 16 Van Assche, Walter 15 Koumandos, Stamatis 14 Cao, Jian 14 Ito, Masahiko 14 Srivastava, Hari Mohan 14 Zhedanov, Alexei S. 13 Marcellán Español, Francisco 12 Atakishiev, Natig M. 12 Gasper, George Jun 12 Karniadakis, George Em 12 Stokman, Jasper V. 12 van Diejen, Jan Felipe 11 Kilic, Emrah 11 Kwong, Man Kam 11 Tikhonov, Sergey Yur’evich 11 Vinet, Luc 11 Zhang, Ruiming 10 Abd-Elhameed, Waleed Mohamed 10 Bryc, Włodzimierz 10 Milne, Stephen C. 10 Mimachi, Katsuhisa 10 Ronveaux, André 10 Voit, Michael 10 Wang, Mingjin 10 Warnaar, S. Ole 9 Coffey, Mark William 9 Doha, Eid H. 9 Karp, Dmitriĭ Borisovich 9 Markett, Clemens 9 Mhaskar, Hrushikesh N. 9 Ostrovska, Sofiya 9 Xu, Yuan 9 Zeilberger, Doron 9 Zeng, Jiang 8 Álvarez-Nodarse, Renato 8 Bouzeffour, Fethi 8 Dai, Feng 8 Jordaan, Kerstin 8 Klimyk, Anatoliy Ul’yanovich 8 Masjed-Jamei, Mohammad 8 McCoy, Peter A. 8 Noumi, Masatoshi 8 Thangavelu, Sundaram 8 Wang, Lilian 7 Brown, Gavin 7 Chen, William Yong-Chuan 7 Chihara, Theodore Seio 7 Gupta, Vijay 7 Iliev, Plamen 7 Ito, Tatsuro 7 Lewanowicz, Stanisław 7 Li, Zhongkai 7 Ma, Chunsheng 7 Masson, David R. 7 Porcu, Emilio 7 Shen, Jie 7 Simeonov, Plamen C. 7 Stempak, Krzysztof 7 Tratnik, M. V. 7 Vuorinen, Matti Keijo Kustaa 7 Zarzo, Alejandro 6 Aomoto, Kazuhiko 6 Barnard, Roger W. 6 Berg, Christian 6 Bringmann, Kathrin 6 Cohl, Howard Saul 6 Dehesa, Jesús S. 6 Demni, Nizar 6 Dimitrov, Dimitar K. 6 Forrester, Peter J. 6 Foupouagnigni, Mama 6 Geronimo, Jeffrey S. 6 Groenevelt, Wolter G. M. 6 Kanjin, Yuichi 6 Kim, Taekyun 6 Krattenthaler, Christian Friedrich 6 Lasser, Rupert 6 Liu, Zhi-Guo 6 Long, Ling 6 Lubinsky, Doron S. 6 Ol’shanskiĭ, Grigoriĭ Iosifovich 6 Petronilho, José C. 6 Rains, Eric M. 6 Rivoal, Tanguy 6 Schlosser, Michael J. ...and 2,100 more Authors
all top 5

#### Cited in 384 Serials

 136 Journal of Mathematical Analysis and Applications 115 Journal of Computational and Applied Mathematics 109 The Ramanujan Journal 106 Proceedings of the American Mathematical Society 102 Journal of Approximation Theory 76 Transactions of the American Mathematical Society 46 Journal of Mathematical Physics 43 Constructive Approximation 41 Mathematics of Computation 37 Advances in Mathematics 36 Integral Transforms and Special Functions 30 Applied Mathematics and Computation 29 Advances in Applied Mathematics 29 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 25 Communications in Mathematical Physics 24 Rocky Mountain Journal of Mathematics 24 Journal of Combinatorial Theory. Series A 23 Results in Mathematics 21 Journal of Computational Physics 21 Advances in Difference Equations 20 Letters in Mathematical Physics 19 Linear Algebra and its Applications 17 Duke Mathematical Journal 17 Journal of Functional Analysis 17 The Journal of Fourier Analysis and Applications 17 Journal of High Energy Physics 16 Journal d’Analyse Mathématique 16 Acta Mathematica Hungarica 15 Tohoku Mathematical Journal. Second Series 14 Analysis Mathematica 14 Computers & Mathematics with Applications 14 Journal of Statistical Physics 14 Mathematical Notes 14 Journal of Number Theory 14 European Journal of Combinatorics 14 Aequationes Mathematicae 13 Acta Applicandae Mathematicae 13 Numerical Algorithms 13 Complex Analysis and Operator Theory 12 Discrete Mathematics 12 Annales de l’Institut Fourier 12 Computational Methods and Function Theory 11 International Journal of Mathematics and Mathematical Sciences 11 Mathematische Annalen 11 Monatshefte für Mathematik 11 SIAM Journal on Scientific Computing 11 Abstract and Applied Analysis 10 Applied Numerical Mathematics 10 Applied Mathematics Letters 10 Journal of Difference Equations and Applications 10 Journal of Inequalities and Applications 9 Theoretical and Mathematical Physics 9 Mathematische Zeitschrift 9 Journal of Theoretical Probability 9 Journal of Scientific Computing 9 Annals of Combinatorics 8 Compositio Mathematica 8 Journal of Soviet Mathematics 8 Journal of Mathematical Sciences (New York) 8 Advances in Computational Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Nuclear Physics. B 7 Ukrainian Mathematical Journal 7 Arkiv för Matematik 7 Calcolo 7 Proceedings of the Japan Academy. Series A 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Mathematical Chemistry 6 The Annals of Probability 6 Functional Analysis and its Applications 6 Integral Equations and Operator Theory 6 Mathematische Nachrichten 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Studies in Applied Mathematics 6 Probability Theory and Related Fields 6 Journal of the American Mathematical Society 6 Stochastic Processes and their Applications 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mediterranean Journal of Mathematics 6 International Journal of Number Theory 6 Journal of Pseudo-Differential Operators and Applications 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Computing 5 Journal of the Mathematical Society of Japan 5 Statistics & Probability Letters 5 Journal of Symbolic Computation 5 Indagationes Mathematicae. New Series 5 Journal of Algebraic Combinatorics 5 Turkish Journal of Mathematics 5 Bulletin des Sciences Mathématiques 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Central European Journal of Mathematics 5 Analysis and Applications (Singapore) 5 Journal of Applied Mathematics & Informatics 5 Analysis and Mathematical Physics 5 Problemy Analiza. Issues of Analysis 4 Applicable Analysis 4 Israel Journal of Mathematics 4 The Mathematical Intelligencer ...and 284 more Serials
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#### Cited in 61 Fields

 1,198 Special functions (33-XX) 491 Harmonic analysis on Euclidean spaces (42-XX) 269 Combinatorics (05-XX) 237 Number theory (11-XX) 227 Approximations and expansions (41-XX) 215 Numerical analysis (65-XX) 181 Probability theory and stochastic processes (60-XX) 152 Real functions (26-XX) 137 Functions of a complex variable (30-XX) 129 Quantum theory (81-XX) 113 Partial differential equations (35-XX) 101 Difference and functional equations (39-XX) 90 Operator theory (47-XX) 88 Ordinary differential equations (34-XX) 85 Nonassociative rings and algebras (17-XX) 83 Abstract harmonic analysis (43-XX) 79 Functional analysis (46-XX) 74 Integral transforms, operational calculus (44-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 69 Statistics (62-XX) 58 Statistical mechanics, structure of matter (82-XX) 43 Topological groups, Lie groups (22-XX) 42 Sequences, series, summability (40-XX) 35 Group theory and generalizations (20-XX) 27 Computer science (68-XX) 25 Several complex variables and analytic spaces (32-XX) 25 Fluid mechanics (76-XX) 24 Potential theory (31-XX) 21 Algebraic geometry (14-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 History and biography (01-XX) 17 Integral equations (45-XX) 16 Associative rings and algebras (16-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Differential geometry (53-XX) 13 Mechanics of deformable solids (74-XX) 13 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 11 Relativity and gravitational theory (83-XX) 10 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 8 Manifolds and cell complexes (57-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Commutative algebra (13-XX) 7 Convex and discrete geometry (52-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Measure and integration (28-XX) 5 Geometry (51-XX) 5 Mechanics of particles and systems (70-XX) 4 Field theory and polynomials (12-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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