Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 819-828.

• Articles • Previous Articles     Next Articles

Nevanlinna Theory for the f(qz+c) and Its Applications

 QI Xiao-Guang1, LIU Yong2, YANG Lian-Zhong2   

  1. 1.University of Jinan, School of Mathematics, Jinan |250022|2.Shandong University, School of Mathematics, Jinan |250100
  • Received:2012-03-07 Revised:2013-05-27 Online:2013-10-25 Published:2013-10-25
  • Supported by:

    数学天元基金(11226094)、山东省自然科学基金(ZR2012AQ020, ZR2010AM030)和济南大学博士基金(XBS1211)资助.

Abstract:

In this paper, we investigate the proximity function of f(qz+c)/f(z) and present a q-shift difference analogue of the second main theorem of Nevanlinna theory. As applications, we will give the relation of T(r, f(qz+c)) and T(r, f), and consider the value sharing problem of f(z) and its q-shift difference f(qz+c) as well.

Key words: Meromorphic functions, Nevanlinna theory, Sharing value

CLC Number: 

  • 30D35
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