Coefficients Characterization of Entire Harmonic Functions in Terms of Norm of Gradients at Origin in R^n, n≥ 3

Devendra Kumar, Rajeev Kumar Vishnoi

Abstract

Coefficient characterizations of generalized order, lower order and generalized type of entire harmonic function having the spherical harmonic expansion throughout a neighborhood of the origin in Rn have been obtained in terms of norm of gradients at origin.

Keywords

Norm of gradient, entire harmonic functions, generalized orders, generalized type and growth of zero orders

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