CONNECTION FORMULAS AND IRREDUCIBILITY CONDITIONS FOR APPELL^|^rsquo;S F2

DOI10.2206/kyushujm.66.325zbMath1259.33027OpenAlexW2071968853MaRDI QIDQ4904990

Mitsuo Kato

Publication date: 14 February 2013

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

Full work available at URL: https://doi.org/10.2206/kyushujm.66.325

zbMATH Keywords

monodromy groupirreducibility conditionAppell's hypergeometric functionconnection formula

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (7)

CONFLUENCES OF APPELL'S <i>F</i>₂SYSTEM OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS ⋮ On the evaluation of the Appell \(F_2\) double hypergeometric function ⋮ 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 ⋮ 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 ⋮ Paperfolding infinite products and the gamma function ⋮ Connection Problem for Regular Holonomic Systems in Several Variables ⋮ INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION

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