GENERALIZED GROWTH AND APPROXIMATION
OF HARMONIC FUNCTIONS IN Rn, n ≥ 3
Devendra Kumar1, Rajeev Kumar Vishnoi2
1Department of Mathematics
Faculty of Sciences, Al-Baha University
P.O. Box-1988, Alaqiq
Al-Baha - 65431, SAUDI ARABIA
2Department of Mathematics
Vardhaman College, Bijnor - 246701
U.P., INDIA

Abstract

Coefficient characterizations of generalized order and generalized type of non-entire harmonic function having the spherical harmonic expansion throughout a neighborhood of the origin in Rn have been obtained in terms of harmonic polynomial approximation errors in sup norm.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 4
Year: 2022

DOI: 10.12732/ijam.v35i4.4

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