Meromorphic solutions over \(\mathbb C\) of a system of difference equations with constant coefficients and two recurrent steps

DOI10.5802/aif.1895zbMath1004.39002OpenAlexW2471756126MaRDI QIDQ1613953

Jean-Claude Jolly

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_2_585_0

zbMATH Keywords

meromorphic solutionselliptic functionsimultaneous difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Entire functions of one complex variable (general theory) (30D20) Difference operators (39A70) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (3)

Entire function solutions of a system of two recurrent step equations ⋮ Entire function solutions of a system of two recurrent step equations with exponential polynomial coefficients ⋮ Consistent systems of linear differential and difference equations

Cites Work

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• Sur les fonctions entières à double pas récurrent. (Entire functions with double recurrent step.)
• Entire solutions of a system of difference equations
• Quasi \(\varepsilon\) solutions of a mixed system of nonlinear partial differential equations in unbounded open sets.
• Sur les équations aux différences en une variable. (Difference equations in one variable)
• Solutions entières d'un système d'équations aux différences. II. (Entire functions solutions of a system of difference equations. II.)

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