On some series of special functions

DOI10.1080/10652469.2024.2363791MaRDI QIDQ6639855

Yu. A. Brychkov

Publication date: 18 November 2024

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convergence and divergence of series and sequences of functions (40A30) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

• On some formulas for the Horn function H₂ (a, ,b, ,c, ,c′; d; w, z) and confluent Horn function (a, b, c; d; w, z)
• Generating functions of Jacobi polynomials
• On some formulas for the confluent Horn functions H₃^(c) (a, b, c; d; w, z), H₄^(c) (a, c; d; w, z) and H₉^(c) (a, b; c; w, z)
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