CONNECTION FORMULAS RELATED WITH APPELL'S <i>F</i>₂, HORN'S <i>H</i>₂AND OLSSON'S <i>F</i><i>_P</i>FUNCTIONS

DOI10.2206/kyushujm.74.15OpenAlexW3043027113MaRDI QIDQ5119863

Katsuhisa Mimachi

Publication date: 1 September 2020

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.74.15

zbMATH Keywords

integral representationsAppell's hypergeometric functionconnection formulaHorn's hypergeometric functionOlsson's hypergeometric function

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

On the evaluation of the Appell \(F_2\) double hypergeometric function

Cites Work

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• SOLUTIONS IN TERMS OF INTEGRALS OF MULTIVALUED FUNCTIONS FOR THE CLASSICAL HYPERGEOMETRIC EQUATIONS AND THE HYPERGEOMETRIC SYSTEM ON THE CONFIGURATION SPACE
• ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION <b><i>_n</i></b><b>₊</b>₁<b><i>E</i></b><b><i>_n</i></b>PRESENTED BY INTEGRALS OF EULER TYPE
• On the integration of the differential equations of five-parametric double-hypergeometric functions of second order
• Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions <i>F</i>₂ and <i>F</i>₃
• CONNECTION FORMULAS AND IRREDUCIBILITY CONDITIONS FOR APPELL^|^rsquo;S F2
• INTEGRAL REPRESENTATIONS OF APPELL'S <i>F</i>₂, <i>F</i>₃, HORN'S <i>H</i>₂ AND OLSSON'S <i>F_P</i> FUNCTIONS
• INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION

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