Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials

DOI10.1007/s11139-016-9870-5zbMath1382.33008OpenAlexW2583697847MaRDI QIDQ1696803

P. Njionou Sadjang, Daniel D. Tcheutia, Wolfram Koepf, Mama Foupouagnigni

Publication date: 15 February 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9870-5

zbMATH Keywords

inversion formulaMeixner-Pollaczek polynomialsdivided-difference equationsmultiplication formulacontinuous Hahn polynomialsconnection formulalinearization formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference equations, scaling ((q)-differences) (39A13) Classical hypergeometric functions, ({}_2F_1) (33C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items

On non-linear characterizations of classical orthogonal polynomials, A finite sequence of Hahn-type discrete orthogonal polynomials, Orthogonal Polynomials and Computer Algebra, Generating functions of Pollaczek polynomials: a revisit, Existence of a pair of new recurrence relations for the Meixner-Pollaczek polynomials, Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice

Uses Software

• DLMF
• SumTools

Cites Work

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