THERMAL SCIENCE

International Scientific Journal

Xiao-Jun YangORCID

,

Lu-Lu Geng

,

Yu-Mei Pan

NEW INSIGHTS ON THE J AND Y FUNCTIONS IN THE HEAT TRANSFER

ABSTRACT
In this article, we propose the integral and differential operators within the kernel of the Y function for the first time. We study the properties of the J and Y functions. We also present the some new applications of the heat transfer and present the new representation for the solution of the heat equation in the 1-D case.
KEYWORDS
the J function, the Y function, special function, heat equation, heat transfer
PAPER SUBMITTED: 2020-07-12
PAPER REVISED: 2020-08-12
PAPER ACCEPTED: 2020-11-21
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106577Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 6, PAGES [4577 - 4584]
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New insights on the J and Y functions in the heat transfer

© 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-NonCommercial-NoDerivs 4.0 International licence