On the Asymptotics and Distribution of Values of the Jacobi Theta Functions and the Estimate of the Type of the Weierstrass Sigma Functions-Reference-Cited by-同舟云学术

On the Asymptotics and Distribution of Values of the Jacobi Theta Functions and the Estimate of the Type of the Weierstrass Sigma Functions

Published:2021-12-25 Issue:1 Volume:11 Page:12
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Korenkov Mykola^ORCID,Kharkevych Yurii^ORCID

Abstract

A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found. The estimation of the type of the Weierstrass sigma functions has been given.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/11/1/12/pdf

Reference16 articles.

1. Theory of Analytic Functions;Markushevich,1968

2. Eindeutige Analytische Funktionen;Nevanlinna,2013

3. Distribution of Values of Meromorphic Functions;Gol’dberg,1970

4. The distribution of values of the Weierstrass sigma-function;Gol’dberg;Izv. Vyssh. Uchebn. Zaved.,1966

5. On the distribution of values of the Weierstrass sigma-function;Korenkov;Mat. Sb.,1976

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