Meromorphic functions of finite $\lambda$-type in a half-strip

Array

Authors

  • N.B. Sokul’s’ka Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

holomorphic function, meromorphic function, function of finite $\lambda$-type, Nevanlinna characteristic, Jensen-Littlewood theorem

Abstract

The Nevanlinna characteristic of meromorphic functions in a half-strip, such that $f(\sigma)=f(\sigma+ 2 \pi i)$, is introduced, and its main properties are investigated. A criterion of $\lambda$-type finiteness of holomophic in the half-strip functions in terms of Fourier coefficient of $\log |f|$ is obtained.

Published

2012-12-27

How to Cite

(1)
Sokul’s’ka, N. Meromorphic Functions of Finite $\lambda$-Type in a Half-Strip: Array. Carpathian Math. Publ. 2012, 4, 328-339.

Issue

Section

Scientific articles