Solutions entières d'un système d'équations aux différences. II. (Entire functions solutions of a system of difference equations. II.)

DOI10.5802/aif.1521zbMath0853.39001OpenAlexW4240978216MaRDI QIDQ1816864

Jean-Paul Bézivin, François Foucault

Publication date: 28 November 1996

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_2_465_0

zbMATH Keywords

linear differential equationsdifference equationsexponential polynomials

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Additive difference equations (39A10) Ordinary differential equations in the complex domain (34M99) Functional equations for complex functions (39B32)

Related Items (7)

Meromorphic solutions over \(\mathbb C\) of a system of difference equations with constant coefficients and two recurrent steps ⋮ Difference equations associated with groups, representative functions. ⋮ 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 ⋮ Sur les fonctions entières à double pas récurrent. (Entire functions with double recurrent step.) ⋮ Consistent systems of linear differential and difference equations ⋮ Sur les équations aux différences en une variable. (Difference equations in one variable)

Cites Work

• Unnamed Item
• Sur le théorème de Fukasawa-Gel'fond
• Nombres transcendants
• Entire solutions of a system of difference equations
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids

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