S-function associated with fractional derivative and double Dirichlet average

S-function associated with fractional derivative and double Dirichlet average

The object of this article is to investigate the double Dirichlet averages of S-functions. Representations of such relations are obtained in terms of fractional derivative. Some interesting special cases are also stated.

Bibliographic Details
Main Authors: Jitendra Daiya, Dinesh Kumar
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
double dirichlet average
s-function
fractional derivative
gamma and beta function
Online Access:https://www.aimspress.com/article/10.3934/math.2020094/fulltext.html
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spelling doaj-6aa5774d81014f7d895d81db2c317a6a2020-11-25T02:35:17ZengAIMS PressAIMS Mathematics2473-69882020-01-01521372138210.3934/math.2020094S-function associated with fractional derivative and double Dirichlet averageJitendra Daiya0Dinesh Kumar11 Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur-342005 (Raj.), India2 Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur-342304 (Raj.), IndiaThe object of this article is to investigate the double Dirichlet averages of S-functions. Representations of such relations are obtained in terms of fractional derivative. Some interesting special cases are also stated.https://www.aimspress.com/article/10.3934/math.2020094/fulltext.htmldouble dirichlet averages-functionfractional derivativegamma and beta function
collection DOAJ
language English
format Article
sources DOAJ
author Jitendra Daiya
Dinesh Kumar
spellingShingle Jitendra Daiya
Dinesh Kumar
S-function associated with fractional derivative and double Dirichlet average
AIMS Mathematics
double dirichlet average
s-function
fractional derivative
gamma and beta function
author_facet Jitendra Daiya
Dinesh Kumar
author_sort Jitendra Daiya
title S-function associated with fractional derivative and double Dirichlet average
title_short S-function associated with fractional derivative and double Dirichlet average
title_full S-function associated with fractional derivative and double Dirichlet average
title_fullStr S-function associated with fractional derivative and double Dirichlet average
title_full_unstemmed S-function associated with fractional derivative and double Dirichlet average
title_sort s-function associated with fractional derivative and double dirichlet average
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-01-01
description The object of this article is to investigate the double Dirichlet averages of S-functions. Representations of such relations are obtained in terms of fractional derivative. Some interesting special cases are also stated.
topic double dirichlet average
s-function
fractional derivative
gamma and beta function
url https://www.aimspress.com/article/10.3934/math.2020094/fulltext.html
work_keys_str_mv AT jitendradaiya sfunctionassociatedwithfractionalderivativeanddoubledirichletaverage
AT dineshkumar sfunctionassociatedwithfractionalderivativeanddoubledirichletaverage
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