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

How to Cite

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

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

License

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European Journal of Pure and Applied Mathematics will be Copyright Holder.