The Appell’s function F3 and the solutions of a PDE with singular coefficients

DOI10.1080/17476933.2018.1471072zbMath1406.35214OpenAlexW2799289090MaRDI QIDQ4646590

Ali Bentrad

Publication date: 14 January 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1471072

zbMATH Keywords

Cauchy problemsingular solutionssingular coefficientsAppell's function \(F_3\)

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05) Euler-Poisson-Darboux equations (35Q05) Appell, Horn and Lauricella functions (33C65)

Related Items (2)

Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition ⋮ On the solutions of some classes of PDE with singular coefficients

Cites Work

• Specialization of Appell's functions to univariate hypergeometric functions
• The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus
• Singular Cauchy problem for the general Euler-Poisson-Darboux equation
• Exact solutions for a different version of the nonhomogeneous E.P.D equation
• Exact solutions of a PDE with singular coefficients
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
• An Investigation of the Analytic Properties of Solutions to the Generalized Axially Symmetric, Reduced Wave Equation in $n + 1$ Variables, with an Application to the Theory of Potential Scattering
• Multinomial Representation of Solutions of a Class of Singular Initial Value Problems
• Polynomial solutions to Cauchy problems for complex Bessel operators
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