Some families of hypergeometric transformations and generating relations.

DOI10.1016/S0895-7177(02)00175-9zbMath1042.33005MaRDI QIDQ1410119

Pin-Yu Wang, Shy-Der Lin, Hari M. Srivastava

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

Laguerre functionsJacobi polynomialsGauss hypergeometric functionLaguerre polynomialsReduction formulasHypergeometric functionsBrafman polynomialsHypergeometric polynomialsContiguous-function relationsGenerating relationsLaguerre functions and polynomialsQuadratic transformations

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (13)

Generalized multiple integral representations for a large family of polynomials with applications ⋮ Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations ⋮ Some families of hypergeometric polynomials and associated integral representations ⋮ Some Results on the Bivariate Laguerre Polynomials ⋮ New families of generating functions for certain class of three-variable polynomials ⋮ Some families of generating functions for the extended Srivastava polynomials ⋮ Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials ⋮ Multiple integral representations for some families of hypergeometric and other polynomials ⋮ On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials ⋮ Some families of generating functions for a class of bivariate polynomials ⋮ Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel ⋮ Product of two hypergeometric functions with power arguments ⋮ Series identities and associated families of generating functions

Cites Work

• Lie theory and special functions
• Some Generating Functions for Laguerre and Hermite Polynomials
• The Confluent Hypergeometric Function
• Notes on the Linearised Equation for the Velocity Potential of the Steady Supersonic flow of a Compressible Fluid
• A Note on the Paper by Tempest and Rosenhead
• Generating Functions for Bessel and Related Polynomials
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials
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