ON PROPERTIES OF FINITE-ORDER MEROMORPHIC SOLUTIONS OF A CERTAIN DIFFERENCE PAINLEVÉ I EQUATION
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Publication:2891975
DOI10.1017/S0004972711002796zbMath1248.30010MaRDI QIDQ2891975
Publication date: 18 June 2012
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
rational solutionvalue distribution theorypolynomial solutiontranscendental solutionDifference Painlevé I equation
Related Items (3)
Zeros, poles, and fixed points of solution and its difference for some types of difference equations ⋮ Unnamed Item ⋮ On properties of meromorphic solutions for difference Painlevé equations
Cites Work
- Unnamed Item
- On properties of meromorphic solutions for some difference equations
- 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 sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
- The isomonodromic deformation method in the theory of Painlevé equations
- From continuous to discrete Painlevé equations
- Complex difference equations of Malmquist type
- The second Painlevé equation as a model for the electric field in a semiconductor.
- On zeros and fixed points of differences of meromorphic functions
- Existence of finite-order meromorphic solutions as a detector of integrability in difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Zeros of differences of meromorphic functions
- Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
- Finite-order meromorphic solutions and the discrete Painlevé equations
- On the extension of the Painlevé property to difference equations
- Clunie theorems for difference and q -difference polynomials
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