Riemann Function of Harmonic Equation and Appell’s $F_4 $

DOI10.1137/0519062zbMath0659.33002OpenAlexW1970992191MaRDI QIDQ3808434

Katsunori Iwasaki

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519062

zbMATH Keywords

Riemann functionsymmetry algebraDarboux harmonic equationhypergeometric function \(F_ 4\)

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05)

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Symmetry operators for Riemann’s method, Riemann functions and the group E(1,1), Gröbner basis and the problem of contiguous relations, On the Riemann function