Meromorphic Functions of Finiteφ-order and Linear Askey-Wilson Divided Difference Equations  

作　　者：Hui YU Janne HEITTOKANGAS Jun WANG Zhi Tao WEN 

机构地区：[1]Department of Physics and Mathematics,University of Eastern Finland,P.O.Box 111,80101 Joensuu,Finland [2]School of Mathematical Sciences,Fudan University,Shanghai 200433,P.R.China [3]Department of Mathematics,Shantou University,Shantou 515063,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第2期371-383,共13页数学学报（英文版）

基　　金：the support of the China Scholarship Council(Grant No.201806330120);supported by National Natural Science Foundation of China(Grant No.11771090);supported by the National Natural Science Foundation of China(Grants Nos.11971288 and 11771090);Shantou University SRFT(Grant No.NTF18029)。

摘　　要：The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.Theφ-order is used as a general growth indicator,which covers the growth spectrum between the logarithmic orderρlog(f)and the classical orderρ(f)of a meromorphic function f.

关 键 词：Askey-Wilson divided difference operator Askey-Wilson divided difference equation lemma on the logarithmic 

分 类 号：O174.52[理学—数学] O241.3[理学—基础数学]