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

Kumar Devendra, Alghamdi Azza M.

Demonstratio Mathematica

2022

Vol. 55, nr 1

429--436

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].