\(D\)-module approach to special functions and generating functions
Yik-Man Chiang, Kam Hang Cheng, Avery Ching
Publication date: 10 September 2024
Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Sheaves of differential operators and their modules, (D)-modules (32C38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Other special functions (33E99)
Cites Work
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- Hypergeometric type functions and their symmetries
- Bessel polynomials
- Group-theoretic origin of certain generating functions
- An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
- Classical orthogonal polynomials of a discrete variable on nonuniform lattices
- A holonomic systems approach to special functions identities
- The Bessel difference equation
- Generating Functions for Hermite Functions
- Generating Functions for Bessel Functions
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- D-module approach to Liouville's Theorem for difference operators
- An Essay Toward a Unified Theory of Special Functions. (AM-18)
- Special functions and orthogonal polynomials
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