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Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations

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Publication:1865022
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DOI10.1016/S0007-4497(02)01143-0zbMath1015.35023OpenAlexW2091718501MaRDI QIDQ1865022

Amédée Debiard, Bernard Gaveau

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(02)01143-0

zbMATH Keywords

analytic functionintegral representationbases of solutionshypergeometric systems of Appel-Kampe de Feriet and Horn


Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Appell, Horn and Lauricella functions (33C65)


Related Items

Hypergeometric symbolic calculus. II: Systems of confluent equations, Defect conformal blocks from Appell functions, Series expansion for the Fourier transform of a rational function in three dimensions



Cites Work

  • Hypergeometric functions of two variables
  • The analytic theory of systems of partial differential equations
  • Hypergeometrische Funktionen zweier Veränderlichen
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