A new odd entire function of order one arising in the heat problem-Reference-Cited by-同舟云学术

A new odd entire function of order one arising in the heat problem

Published:2023 Issue:1 Part B Volume:27 Page:505-512
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Yang Xiao-Jun¹,Abdel-Aty Mahmoud²,Geng Lu-Lu³

Affiliation:

1. State Key Laboratory for Geo-Mechanics and Deep Underground Engineering, and School of Mathematics, China University of Mining and Technology, Xuzhou, China + Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia + Department of Mathematics, College of Science, Kyung Hee University, Seoul, Republic of Korea

2. Mathematics Department, Faculty of Sciences, Sohag University, Sohag, Egypt + Center for Photonics and Smart Materials (CPSM), Zewail City of Science and Technology, Zewail, Egypt

3. State Key Laboratory for Geo-Mechanics and Deep Underground Engineering, and School of Mathematics, China University of Mining and Technology, Xuzhou, China

Abstract

In this article we suggest a new odd entire function of order one. We discover that it is the solution of the heat equation. We propose a new conjecture that this function has only real zeros. The obtained result gives a connection with the heat problem and number theory.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference11 articles.

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3. Jensen, J. L., Recherches sur la théorie des équations (in French), Acta Mathematica, 36 (1913), 1, pp. 181-195

4. Titchmarsh, E. C., The Theory of the Riemann Zeta-function, Oxford University Press, Oxford, UK, 1986

5. De Bruijn, N. G., The Roots of Trigonometric Integrals, Duke Mathematical Journal, 17 (1950), 3, pp. 197-226

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