On generalized fractional integral operators and the generalized Gauss hypergeometric functions
type: Item
instance of: scholarly article
title: On generalized fractional integral operators and the generalized Gauss hypergeometric functions
zbMATH Open document ID: 1474.33027
DOI: 10.1155/2014/630840
author: D. Baleanu
author: Praveen Agarwal
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A remarkably large number of fractional integral formulas involving the number of special functions, have been investigated by many authors. Very recently, Agarwal (National Academy Science Letters) gave some integral transform and fractional integral formulas involving the \(F_p^{\left(\alpha, \beta\right)} \left(\cdot\right)\). In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell's function \(F_3(\cdot)\) due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 7022776
Wikidata QID: Q59040191
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/630840
OpenAlex ID: W2123537734
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describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7022776