Relations for the Horn functions

DOI10.1007/s10958-020-04997-6zbMath1450.30062OpenAlexW3082033585MaRDI QIDQ2199042

Yanyan Li

Publication date: 16 September 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-020-04997-6

zbMATH Keywords

hypergeometric functionsHorn functionsGauss-type relations

Mathematics Subject Classification ID

Hypergeometric functions (33C99) Miscellaneous topics of analysis in the complex plane (30E99)

Cites Work

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• Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function
• Initial value problem for \(B\)-hyperbolic equation with integral condition of the second kind
• Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind
• CONFLUENT HYPERGEOMETRIC FUNCTIONS OF MANY VARIABLES AND THEIR APPLICATION TO THE FINDING OF FUNDAMENTAL SOLUTIONS OF THE GENERALIZED HELMHOLTZ EQUATION WITH SINGULAR COEFFICIENTS

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