What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials (951 citations)
- Orthogonal Polynomials and Special Functions (613 citations)
- Pi and the AGM (423 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (37.43%)
- Orthogonal polynomials (27.37%)
- Algebra (22.91%)
What were the highlights of his more recent work (between 1998-2018)?
- Algebra (22.91%)
- Special functions (6.15%)
- Orthogonal polynomials (27.37%)
In recent papers he was focusing on the following fields of study:
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.
Between 1998 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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