Hypergeometric functions and parabolic partial differential equations

DOI10.1007/s10883-005-4173-yzbMath1064.35031OpenAlexW2058851944MaRDI QIDQ1778055

Stéphane Malek

Publication date: 26 May 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-005-4173-y

zbMATH Keywords

formal power series solutions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Second-order parabolic equations (35K10)

Cites Work

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• Summability of formal power-series solutions of partial differential equations with constant coefficients
• Formal power series and linear systems of meromorphic ordinary differential equations
• Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties
• Hypergeometric functions and the Tricomi operator
• Contiguity Relations for Generalized Hypergeometric Functions
• The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation

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