Some properties of solutions for some \(q\)-difference equations containing Painlevé equation

DOI10.1155/2018/8318570zbMath1400.39009OpenAlexW2800319615MaRDI QIDQ1640324

Peng Jun Zhao, Hong-Yan Xu

Publication date: 14 June 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8318570

zbMATH Keywords

convergence of polesgrowth of meromorphic solution

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17) Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

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• Results on the deficiencies of some differential-difference polynomials of meromorphic functions
• Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations
• Some results on a certain type of difference equation originated from difference Painlevé I equation
• Value distribution of meromorphic solutions of certain difference Painlevé equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution of difference polynomials
• On the Nevanlinna characteristic of \(f(qz)\) and its applications
• Some properties of meromorphic solutions of \(q\)-difference equations
• From continuous to discrete Painlevé equations
• A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
• Meromorphic solutions of generalized Schröder equations
• Complex difference equations of Malmquist type
• On properties of \(q\)-difference equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Meromorphic solutions of q-shift difference equations
• VALUE SHARING RESULTS OF A MEROMORPHIC FUNCTION f(z) AND f(qz)
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Values sharing results on q-difference and derivative of meromorphic functions
• Clunie theorems for difference and q -difference polynomials
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations

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