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Article

Conditional Expanding of Functions by q-Lidstone Series

by
Maryam Al-Towailb
1,* and
Zeinab S. I. Mansour
2
1
Department of Computer Science and Engineering, College of Applied Studies and Community Service, King Saud University, Riyadh 11451, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(1), 22; https://doi.org/10.3390/axioms12010022
Submission received: 15 November 2022 / Revised: 19 December 2022 / Accepted: 20 December 2022 / Published: 25 December 2022
(This article belongs to the Special Issue Orthogonal Polynomials, Special Functions and Applications)
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Abstract

This paper characterizes those functions given by convergent q-Lidstone series expansion. We give the necessary and sufficient conditions so that the entire function f(z) has such an expansion, in which case convergence is uniform on compact sets.
Keywords: q-Lidstone series; q-Lidstone polynomials; asymptotic expansion; convergence series q-Lidstone series; q-Lidstone polynomials; asymptotic expansion; convergence series

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MDPI and ACS Style

Al-Towailb, M.; Mansour, Z.S.I. Conditional Expanding of Functions by q-Lidstone Series. Axioms 2023, 12, 22. https://doi.org/10.3390/axioms12010022

AMA Style

Al-Towailb M, Mansour ZSI. Conditional Expanding of Functions by q-Lidstone Series. Axioms. 2023; 12(1):22. https://doi.org/10.3390/axioms12010022

Chicago/Turabian Style

Al-Towailb, Maryam, and Zeinab S. I. Mansour. 2023. "Conditional Expanding of Functions by q-Lidstone Series" Axioms 12, no. 1: 22. https://doi.org/10.3390/axioms12010022

APA Style

Al-Towailb, M., & Mansour, Z. S. I. (2023). Conditional Expanding of Functions by q-Lidstone Series. Axioms, 12(1), 22. https://doi.org/10.3390/axioms12010022

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