THERMAL SCIENCE

International Scientific Journal

Lu-Lu Geng

,

Wen-Jie Liu

,

He-He Geng

,

Kang-Kang Geng

SEVERAL FRACTIONAL INTEGRAL FORMULAS AND INTEGRAL TRANSFORMS OF THE HYPERGEOMETRIC SUPERCOSINE FUNCTION

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.
KEYWORDS
fractional integral operators, beta transform, laplace transform, Gauss hypergeometric series, special function
PAPER SUBMITTED: 2024-05-16
PAPER REVISED: 2024-07-06
PAPER ACCEPTED: 2024-07-06
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503829G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 3, PAGES [1829 - 1837]
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Several fractional integral formulas and integral transforms of the hypergeometric supercosine function

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence