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

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

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 ha...

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Bibliographic Details
Main Authors: Mykola Korenkov, Yurii Kharkevych
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Axioms
Subjects:
Weierstrass function
Jacobi theta functions
Nevanlinna characteristics
elliptic function
entire function
meromorphic function
Online Access:https://www.mdpi.com/2075-1680/11/1/12

Internet

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

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