On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation-Reference-Cited by-同舟云学术

On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation

Published:2022-01-01 Issue:1 Volume:55 Page:429-436
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Kumar Devendra¹²,Alghamdi Azza M.¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences Al-Baha University, P.O. Box-7738, Alaqiq , Al-Baha-65799 , Saudi Arabia

2. Department of Mathematics, M.M.H. College , Ghaziabad-201001 , U.P. , India

Abstract

Abstract For an entire function solution of generalized bi-axisymmetric potential equation, we obtain a relationship between the generalized growth characteristics and polynomial approximation errors in sup norm by using the general functions introduced by Seremeta [On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion, Amer. Math. Soc. Transl. 88 (1970), no. 2, 291–301].

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0030/pdf

Reference16 articles.

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4. P. A. McCoy, Approximation of pseudoanalytic functions on the unit disc, Complex Var. Elliptic Equ. 6 (1986), 123–133.

5. P. A. McCoy, Optimal approximation and growth of solutions to a class of elliptic partial differential differential equations, J. Math. Anal. Appl. 154 (1991), 203–211.