New fractional calculus results involving Srivastava's general class of multivariable polynomials and the \(\overline{\mathrm{H}}\)-function

DOI10.1515/JAMSI-2015-0002zbMath1334.33031OpenAlexW2473970948MaRDI QIDQ275549

Vinod Gill, Vinod B. L. Chaurasia

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1515/jamsi-2015-0002

zbMATH Keywords

fractional derivative\(\overline{\mathrm{H}}\)-functiongeneral multivariable polynomialsgeneralized polynomial set

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (2)

Some properties of generalized Srivastava's triple hypergeometric function \(H_{C,p,q}(\cdot )\) ⋮ New extension of fractional-calculus results associated with product of certain special functions

Cites Work

• A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
• The G and H Functions as Symmetrical Fourier Kernels
• The H function associated with a certain class of Feynman integrals
• 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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