<em>S</em>-function associated with fractional derivative and double Dirichlet average

Jitendra Daiya; Dinesh Kumar; Jitendra Daiya; Dinesh Kumar

doi:10.3934/math.2020094

AIMS Mathematics

2020, Volume 5, Issue 2: 1372-1382. doi: 10.3934/math.2020094

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Research article

S-function associated with fractional derivative and double Dirichlet average

Jitendra Daiya ¹,
Dinesh Kumar ^{2
,
,}

1.
Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur-342005 (Raj.), India
2.
Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur-342304 (Raj.), India

Received: 30 September 2019 Accepted: 08 January 2020 Published: 20 January 2020
MSC : Primary: 26A33, 33C99; Secondary: 33E12, 33E99

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.
- double Dirichlet average,
- S-function,
- fractional derivative,
- Gamma and Beta function
Citation: Jitendra Daiya, Dinesh Kumar. S-function associated with fractional derivative and double Dirichlet average[J]. AIMS Mathematics, 2020, 5(2): 1372-1382. doi: 10.3934/math.2020094

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Abstract

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.

References

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