Nevanlinna theory for the upper half disc-I

Subhas   S. BHOOSNURMATH; Renukadevi  S. DYAVANAL; Mahesh BARKI

doi:10.26637/mjm1002/007

Abstract

In this paper, we prove the Poisson Integral theorem and Poisson-Jenson formula for the upper half disc and consequently introduce the proximity function, the counting function and the characteristic function of a meromorphic function in the upper half disc which are basic functions of Nevanlinna theory.

Keywords:

Nevanlinna theory, Upper half disc, Meromorphic functions, Poisson integral formula, Characteristic functions

Mathematics Subject Classification:

30D35

Authors Imprint References Funding Related Articles Downloads

Subhas S. BHOOSNURMATH Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India.
Renukadevi S. DYAVANAL Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India. https://orcid.org/0000-0002-2590-9574
Mahesh BARKI Department of Mathematics, Davangere University, Davangere–577007, Karnataka, India.

Pages: 171-177
Date Published: 01-04-2022
Vol. 10 No. 02 (2022): Malaya Journal of Matematik (MJM)

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