A class of Julia exceptional functions

Abstract

The class of $p$-loxodromic functions (meromorphic functions, satisfying the condition $f(qz) = pf(z)$ for some $q \in \mathbb{C}\backslash \{0\}$ and all $z \in \mathbb{C}\backslash \{0\}$) is studied. Each $p$-loxodromic function is Julia exceptional. The representation of these functions as well as their zero and pole distribution are investigated.

Authors and Affiliations

V. S. Khoroshchak, A. Ya. Khrystiyanyn, D. V. Lukivska

Keywords

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  • EP ID EP262989
  • DOI 10.15330/cmp.8.1.172-180
  • Views 68
  • Downloads 0

How To Cite

V. S. Khoroshchak, A. Ya. Khrystiyanyn, D. V. Lukivska (2016). A class of Julia exceptional functions. Карпатські математичні публікації, 8(1), 172-180. https://europub.co.uk/articles/-A-262989