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THERMAL SCIENCE
International Scientific Journal
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TWO NEW HYPERBOLIC INTEGRAL TRANSFORMS APPLIED IN THE HEAT-DIFFUSION PROBLEMS
ABSTRACT
In this article we propose the hyperbolic sine integral transform for the first time. We also show the special case of the hyperbolic cosine integral transform by Jan Stochel and Jerzy Stochel. We give the inverse formulas of the hyperbolic sine and cosine integral transforms. Finally, we investigate the exact solutions for the heat-diffusion equation with open problems in number theory.
KEYWORDS
hyperbolic sine integral transform, hyperbolic cosine integral transform, heat-diffusion equation, exact solution, number theory
PAPER SUBMITTED: 2025-01-01
PAPER REVISED: 2025-02-10
PAPER ACCEPTED: 2025-02-22
PUBLISHED ONLINE: 2026-07-18
DOI REFERENCE: https://doi.org/10.2298/TSCI250101105Y
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© 2026 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 4.0 International licence