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

Authors

  • Devendra Kumar Department of Mathematics, Faculty of Science, Al-Baha University
  • Rajeev Kumar Vishnoi Department of Mathematics, Vardhaman College, Bijnor, U.P.

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i2.3636

Keywords:

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

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.

Author Biographies

  • Devendra Kumar, Department of Mathematics, Faculty of Science, Al-Baha University

    Department of Mathematics,

    Professor

  • Rajeev Kumar Vishnoi, Department of Mathematics, Vardhaman College, Bijnor, U.P.

    Mathematics,

    Assistant Professor

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Published

2020-04-29

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

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How to Cite

Coefficients Characterization of Entire Harmonic Functions in Terms of Norm of Gradients at Origin in R^n, n≥ 3. (2020). European Journal of Pure and Applied Mathematics, 13(2), 258-268. https://doi.org/10.29020/nybg.ejpam.v13i2.3636