On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of (p,q)-order
DOI10.7153/jca-2023-21-07arXiv2201.01417OpenAlexW4386336727MaRDI QIDQ6122928
Chinmay Ghosh, Subhadip Khan, Anirban Bandyopadhyay
Publication date: 4 March 2024
Published in: Journal of Classical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01417
entire functionmeromorphic functionhomogeneous difference equationnon-homogeneous difference equation\((p,q)\)-order\((p,q)\)-type
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10) Functional equations for complex functions (39B32)
Cites Work
- On the meromorphic solutions of linear differential equations on the complex plane
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- Linear differential equations with solutions of finite iterated order
- On the meromorphic solutions of some linear difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Linear differential equations with entire coefficients of \([p,q\)-order in the complex plane]
- Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
- Clunie theorems for difference and q -difference polynomials
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