Linear differential relations between solutions of the class of Euler-Poisson-Darboux equations

DOI10.1007/s10958-005-0390-xzbMath1089.35040OpenAlexW2011991840MaRDI QIDQ812311

A. V. Aksenov

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0390-x

zbMATH Keywords

identitiesLaplace equationhyperbolic equationcontinuous transformation groupsdynamics of a polytropic gasEuler-Poisson-Darboux operatorsrecursive relations for the Bessel function

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Euler-Poisson-Darboux equations (35Q05)

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Cites Work

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• Exact solutions and transformations of heat and wave theory equations.
• Symmetries of Differential Equations. The Hypergeometric and Euler–Darboux Equations
• Discontinuous Integrals and Generalized Potential Theory
• The singular solutions and the cauchy problem for generalized Tricomi equations

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