Meromorphic Functions of Finite ϕ-order and Linear Askey—Wilson Divided Difference Equations

被引：0
|
作者：
Hui Yu
Janne Heittokangas
Jun Wang
Zhi Tao Wen
机构：
[1] University of Eastern Finland,Department of Physics and Mathematics
[2] Fudan University,School of Mathematical Sciences
[3] Shantou University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2022年 / 38卷
关键词：
Askey—Wilson divided difference operator; Askey—Wilson divided difference equation; lemma on the logarithmic difference; meromorphic function; -order; 39A13; 30D35;
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摘要：
The growth of meromorphic solutions of linear difference equations containing Askey—Wilson divided difference operators is estimated. The ϕ-order is used as a general growth indicator, which covers the growth spectrum between the logarithmic order ρlog (f) and the classical order ρ(f) of a meromorphic function f.
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页码：371 / 383
页数：12
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