Several fractional integral formulas and integral transforms of the hypergeometric supercosine function

In this paper, we propose fractional integral formulas of the hypergeometric supercosine involving Gauss hypergeometric series, derived from the Riemann- -Liouville, Erdelyi-Kober type, and Weyl fractional integral operators. Further-more, we demonstrate several integral transforms of the hypergeometric superco-sine.

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Publication Details

Journal
Thermal Science
Published
2025-01-01
DOI
https://doi.org/10.2298/tsci2503829g
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Several fractional integral formulas and integral transforms of the hypergeometric supercosine function

Lu‐Lu Geng, Wenjie Liu, Hong Geng, Kang-Kang Geng
Thermal Science
Mathematical functions and polynomials
article

Several fractional integral formulas and integral transforms of the hypergeometric supercosine function

Lu‐Lu Geng, Wenjie Liu, Hong Geng, Kang-Kang Geng
article en

Abstract

In this paper, we propose fractional integral formulas of the hypergeometric supercosine involving Gauss hypergeometric series, derived from the Riemann- -Liouville, Erdelyi-Kober type, and Weyl fractional integral operators. Further-more, we demonstrate several integral transforms of the hypergeometric superco-sine.

Thermal ScienceVol. 29(3 Part A)
Nanjing Institute of Technology (CN)
Openalex Percentile: Top 79%
Mathematical functions and polynomials
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