Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2013; 50(4): 1157-1171

Printed July 1, 2013

https://doi.org/10.4134/BKMS.2013.50.4.1157

Copyright © The Korean Mathematical Society.

Value distribution and uniqueness on $q$-differences of meromorphic functions

Zhi-Bo Huang

University of Eastern Finland

Abstract

In this paper, by using the $q$-difference analogue of lemma on the logarithmic derivative lemma to re-establish some estimates of Nevanlinna characteristics of $f(q z)$, we deal with the value distribution and uniqueness of certain types of $q$-difference polynomials.

Keywords: uniqueness, $q$-difference polynomial, characteristic function, sharing value

MSC numbers: 30D35, 39A10