Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\)

DOI10.1016/S0893-9659(99)00146-9zbMath0940.33006MaRDI QIDQ1972448

P. A. Padmanabham, Hari M. Srivastava

Publication date: 4 June 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

generating functionsLaplace transformsGauss hypergeometric functionLaguerre polynomialsconfluent hypergeometric functionAppell functionsLauricella functionsmultiple hypergeometric functionsCauchy product

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace transform (44A10) Appell, Horn and Lauricella functions (33C65)

Related Items (11)

Some Integrals of the products of laguerre polynomials ⋮ On decomposition formulas related to the Gaussian hypergeometric functions in three variables ⋮ Decomposition formulas for some triple hypergeometric functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The incomplete second Appell hypergeometric functions ⋮ Decomposition formulas associated with the Lauricella multivariable hypergeometric functions ⋮ Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions ⋮ Applications of the operator \(H(\alpha ,\beta )\) to the Humbert double hypergeometric functions ⋮ Some generating relations for extended Appell's and Lauricella's hypergeometric functions ⋮ Unnamed Item

Cites Work

• A note on the generalization of the summation formulas for Appell's and Kampé de Fériet's hypergeometric functions
• Generating Functions for Bessel and Related Polynomials
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