Values sharing results on q-difference and derivative of meromorphic functions

Year 2016, Volume: 45 Issue: 6, 1719 - 1728, 01.12.2016

Kai Liu Tingbin Cao

https://izlik.org/JA27PF68JP

Abstract

In this paper, we mainly deal with the problem that f(qz) and $f'(z)$ share common values. One of the purpose is to explore whether the
classical uniqueness results remain valid or not by considering some
uniqueness theorems on f(qz) and $f'(z)$ sharing common values. Some
examples and remarks are given to show that our results are sharp in
certain senses. We also consider the entire solutions of the equation $f'(z)$ = f(qz), which is important for the uniqueness results.

Keywords

Value sharing , q-difference , derivative , order

References

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