Sur les fonctions entières à double pas récurrent. (Entire functions with double recurrent step.)

DOI10.5802/aif.1685zbMath0927.39004OpenAlexW1995829916MaRDI QIDQ1288651

Nicolas Brisebarre, Laurent Habsieger

Publication date: 16 May 1999

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_2_653_0

zbMATH Keywords

linear differential equationsdifference equationsexponential polynomials\(P\)-recursive functions

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) Difference operators (39A70) Functional equations for complex functions (39B32)

Related Items (6)

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 ⋮ Consistent systems of linear differential and difference equations ⋮ Sur les équations aux différences en une variable. (Difference equations in one variable)

Cites Work

• Sur le théorème de Fukasawa-Gel'fond
• A holonomic systems approach to special functions identities
• Nombres transcendants
• Entire solutions of a system of difference equations
• Solutions entières d'un système d'équations aux différences. II. (Entire functions solutions of a system of difference equations. II.)
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