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- Richard Askey

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
45
Citations
9,562
174
World Ranking
1021
National Ranking
482

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to the theory of special functions.

1999 - Member of the National Academy of Sciences

1996 - Fellow of the American Association for the Advancement of Science (AAAS)

1969 - Fellow of John Simon Guggenheim Memorial Foundation

- Mathematical analysis
- Algebra
- Complex number

Richard Askey mostly deals with Jacobi polynomials, Orthogonal polynomials, Pure mathematics, Classical orthogonal polynomials and Gegenbauer polynomials. His research investigates the connection between Jacobi polynomials and topics such as Discrete mathematics that intersect with issues in Kernel, Basic hypergeometric series, Schur polynomial and Structure. His Orthogonal polynomials study frequently links to related topics such as Hermite polynomials.

His study in the fields of Al-Salam–Chihara polynomials, Appell sequence and Hermite interpolation under the domain of Pure mathematics overlaps with other disciplines such as Hermite spline. Richard Askey has included themes like Laguerre polynomials and Discrete orthogonal polynomials in his Classical orthogonal polynomials study. Richard Askey works mostly in the field of Gegenbauer polynomials, limiting it down to topics relating to Algebra and, in certain cases, Hypergeometric distribution, as a part of the same area of interest.

- Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials (951 citations)
- Orthogonal Polynomials and Special Functions (613 citations)
- Pi and the AGM (423 citations)

His scientific interests lie mostly in Pure mathematics, Orthogonal polynomials, Algebra, Mathematical analysis and Classical orthogonal polynomials. Discrete orthogonal polynomials, Wilson polynomials, Jacobi polynomials and Macdonald polynomials are subfields of Orthogonal polynomials in which his conducts study. The Discrete orthogonal polynomials study which covers Hahn polynomials that intersects with Askey–Wilson polynomials.

His Jacobi polynomials study incorporates themes from Jacobi method, Gegenbauer polynomials and Series. His studies in Mathematical analysis integrate themes in fields like Function and Beta function. His Classical orthogonal polynomials research includes themes of Laguerre polynomials and Difference polynomials.

- Pure mathematics (37.43%)
- Orthogonal polynomials (27.37%)
- Algebra (22.91%)

- Algebra (22.91%)
- Special functions (6.15%)
- Orthogonal polynomials (27.37%)

Algebra, Special functions, Orthogonal polynomials, Jacobi polynomials and Mathematical analysis are his primary areas of study. His study on Algebraic number and Hypergeometric function is often connected to Gauss as part of broader study in Algebra. His research on Special functions concerns the broader Pure mathematics.

He regularly links together related areas like Calculus in his Orthogonal polynomials studies. His work in Jacobi polynomials addresses issues such as Discrete orthogonal polynomials, which are connected to fields such as Classical orthogonal polynomials. His work in the fields of Lagrange inversion theorem, Spherical harmonics and Table of spherical harmonics overlaps with other areas such as Spherical multipole moments.

- The q-Gamma and q-Beta Functions† (91 citations)
- Special Functions: Group Theoretical Aspects and Applications (89 citations)
- Evaluation of Sylvester Type Determinants Using Orthogonal Polynomials (28 citations)

- Mathematical analysis
- Algebra
- Complex number

The scientist’s investigation covers issues in Algebra, Special functions, Pure mathematics, Mathematics education and Mathematical analysis. The concepts of his Algebra study are interwoven with issues in Jacobi polynomials, Orthogonal polynomials, Discrete orthogonal polynomials and Classical orthogonal polynomials. His Special functions study combines topics in areas such as Congruence relation, Rogers–Ramanujan identities, Group and Ramanujan's sum.

His work on Algebra over a field and Laguerre polynomials as part of general Pure mathematics study is frequently linked to Durfee square and L-function, therefore connecting diverse disciplines of science. His studies link Pedagogy with Mathematics education. In general Mathematical analysis study, his work on Lagrange inversion theorem, Asymptotic formula and Gamma function often relates to the realm of Volume of an n-ball, thereby connecting several areas of interest.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials

Richard Askey;James Arthur Wilson.

**(1985)**

1612 Citations

Orthogonal Polynomials and Special Functions

Richard Askey.

**(1975)**

1026 Citations

Pi and the AGM

Richard Askey;Jonathan M. Borwein;Peter B. Borwein.

**(1987)**

697 Citations

Classical orthogonal polynomials

George E. Andrews;Richard Askey.

**(1985)**

413 Citations

Recurrence Relations, Continued Fractions, and Orthogonal Polynomials

Richard Askey;Mourad Ismail.

**(1984)**

333 Citations

The q-Gamma and q-Beta Functions†

Richard Askey.

Applicable Analysis **(2007)**

316 Citations

A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or 6 - j Symbols.

Richard Askey;James Wilson.

Siam Journal on Mathematical Analysis **(1979)**

314 Citations

Mean convergence of expansions in Laguerre and Hermite series

Richard Askey;Stephen Wainger.

American Journal of Mathematics **(1965)**

280 Citations

A generalization of ultraspherical polynomials

Richard Askey;Richard Askey;Mourad E.-H. Ismail;Mourad E.-H. Ismail.

**(1983)**

278 Citations

Ramanujan's Extensions of the Gamma and Beta Functions

Richard Askey.

American Mathematical Monthly **(1980)**

208 Citations

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