Existence of meromorphic solutions of first-order difference equations
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Publication:2187720
DOI10.1007/s00365-019-09491-0zbMath1441.39015arXiv1708.07647OpenAlexW2996464246WikidataQ126559259 ScholiaQ126559259MaRDI QIDQ2187720
Publication date: 3 June 2020
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.07647
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference equations in the complex domain (39A45)
Related Items (6)
On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\) ⋮ Meromorphic solutions of Fermat type differential and difference equations of certain types ⋮ On meromorphic solutions of the Fermat-type functional equations \(f(z)^3 + f(z+c)^3 = e^p\) ⋮ On meromorphic solutions of Malmquist type difference equations ⋮ Meromorphic solutions on the first order non-linear difference equations ⋮ Unnamed Item
Cites Work
- Meromorphic solutions of some difference equations of \(n\)th order
- On the growth of meromorphic solutions of the differential equation \((y')^m=R(z,y)\)
- The second main theorem for small functions and related problems
- Integrable mappings and soliton equations
- Integrable mappings and soliton equations. II
- Holomorphic curves with shift-invariant hyperplane preimages
- Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
- Finite-order meromorphic solutions and the discrete Painlevé equations
- Sur la dérivée des fonctions algébroïdes
- On the extension of the Painlevé property to difference equations
- On the equation 𝑓ⁿ+𝑔ⁿ=1
- On a Class of Meromorphic Functions
- On the autonomous limit of discrete Painlevé equations
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