GROWTH OF LOGARITHMIC DIFFERENCES OF MEROMORPHIC FUNCTIONS AND THEIR APPLICATIONS

  • ZINELAABIDINE LATREUCH
    Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem-Algeri
  • BENHARRAT BELAÏDI
    Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem-Algeri

Abstract

In this paper, some properties about the behavior of growth of logarithmic differences of meromorphic functions are obtained, we prove also some relations between the exponent of convergence of meromorphic functions and the growth of their logarithmic differ-ences. In addition, we give some applications in complex difference equations and uniqueness theory.

Cuvinte cheie

Difference Nevanlinna theory Linear difference equations Logarithmic differences Meromorphic functions