Meromorphic functions of finite φ-order and linear Askey-Wilson divided difference equations

2021/01/28 by Yu, Hui, Heittokangas, Janne, Wang, Jun +1
#30D35 #39A13 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.11909

Abstract

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 ρ_log(f) and the classical order ρ(f) of a meromorphic function f.

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