Modulo-loxodromic meromorphic functions in $\mathbb C\setminus\{0\}$

Abstract

Abstract. We introduce modulo-loxodromic functions and study their representations, zeroes and poles distribution. We also show that each modulo-loxodromic meromorphic function in C ∖ {0} is Julia exceptional.

Some generalizations of p-loxodromic functions

“…It was studied in the works of O. Rausenberger [12], G. Valiron [14] and Y. Hellegouarch [3]. In recent years, A. Kondratyuk and his colleagues also investigated these functions and their various generalizations in other domains (see, for example [4], [6]- [8]).…”