On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials

DOI10.2478/v10294-012-0012-4zbMath1277.33010OpenAlexW2032160305MaRDI QIDQ2867285

Praveen Agarwal

Publication date: 11 December 2013

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10294-012-0012-4

zbMATH Keywords

expansion formulaeSrivastava polynomial\(\bar{H}\)-function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Cites Work

• On unified finite integrals involving a multivariable polynomial and a generalized Mellin Barnes type of contour integral having general argument
• The integration of certain products of the multivariable H-function with a general class of polynomials
• The H function associated with a certain class of Feynman integrals
• New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae
• New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
• A new generalization of generalized hypergeometric functions
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