INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION

DOI10.2206/kyushujm.73.1zbMath1447.33009arXiv1607.07349OpenAlexW2980977359MaRDI QIDQ5243501

Koornwinder, Tom H., Enno Diekema

Publication date: 18 November 2019

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

Full work available at URL: https://arxiv.org/abs/1607.07349

zbMATH Keywords

Appelldouble integral representationsHorn and Olsson hypergeometric functions in two variablesPochhammer double loop integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

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 ⋮ On some formulas for the Horn function H₂ (a, ,b, ,c, ,c′; d; w, z) and confluent Horn function (a, b, c; d; w, z) ⋮ On certain results related to the hypergeometric function \(F_K\)

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