Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariable \(H\)-function
type: Item
instance of: scholarly article
title: Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariable \(H\)-function
zbMATH Open document ID: 1010.33005
DOI: 10.1007/BF02829688
author: R. C. Soni
author: Deepika Singh
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-05-12T00:00:00Z
review text: In this interesting paper the authors study fractional integral operators whose kernels involve the Gauss hypergeometric function. They obtain images of three functions that involve a product of a general class of polynomials and the multivariable \(H\)-function under these fractional operators. The main results established in the paper are unified in nature and provide extensions of several known results. A fractional derivative formula involving the product of the Hermite polynomials, the Laguerre polynomials and the product of \(r\) different Whittaker functions has been given as special cases of the first main result of the paper.
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 33C50
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1874182
zbMATH Keywords: fractional derivative
zbMATH Keywords: general class of polynomial
zbMATH Keywords: multivariable \(H\)-function
zbMATH Keywords: Hermite polynomials
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: Whittaker functions
reviewed by: K. C. Gupta
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02829688
OpenAlex ID: W2080754210
description: scientific article; zbMATH DE number 1874182