Meromorphic functions of finiteφ-order and linearq-difference equations

DOI10.1080/10236198.2021.1982919zbMath1485.39011arXiv2010.12356OpenAlexW3204312973MaRDI QIDQ5016816

Janne Heittokangas, Jun Wang, Zhi-Tao Wen, Hui Yu

Publication date: 13 December 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12356

zbMATH Keywords

meromorphic function\(q\)-difference equation\(\varphi\)-order\(\varphi\)-exponent of convergencelogarithmic \(q\)-difference

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference equations, scaling ((q)-differences) (39A13) Difference equations in the complex domain (39A45)

Related Items (3)

DESCRIPTION OF GROWTH AND OSCILLATION OF SOLUTIONS OF COMPLEX LDE’S ⋮ Unnamed Item ⋮ Meromorphic functions of finite \(\varphi \)-order and linear Askey-Wilson divided difference equations

Cites Work

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• Nevanlinna theory of the Askey-Wilson divided difference operator
• Entire and meromorphic functions. With assistance from James E. Colliander
• Finiteness of \(\varphi \)-order of solutions of linear differential equations in the unit disc
• Value Distribution of Meromorphic Functions
• The possible orders of solutions of linear differential equations with polynomial coefficients
• FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
• On meromorphic functions with finite logarithmic order
• L'Hospital's Rule

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