Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations

DOI10.1007/s10587-013-0065-6zbMath1313.33008OpenAlexW1976393696MaRDI QIDQ2931444

Shy-Der Lin, Han-Chun Lu, Shuoh-Jung Liu, Hari M. Srivastava

Publication date: 25 November 2014

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143610

zbMATH Keywords

integral representationhypergeometric polynomialsBedient polynomialsproduct linearization

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items

Product of two hypergeometric functions with power arguments

Cites Work

• Integral representations for the Lagrange polynomials, Shively's pseudo-Laguerre polynomials, and the generalized Bessel polynomials
• Some families of hypergeometric polynomials and associated integral representations
• Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials
• Multiple integral representations for some families of hypergeometric and other polynomials
• Some families of hypergeometric transformations and generating relations.
• Some families of generating functions for a certain class of three-variable polynomials
• Some families of hypergeometric polynomials and associated multiple integral representations
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials
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