On new reduction formulas for the Humbert functions Ψ2, Φ2and Φ3

DOI10.1080/10652469.2017.1297438zbMath1367.33015OpenAlexW2593374053MaRDI QIDQ5269320

Arjun K. Rathie, Yu. A. Brychkov, Yong Sup Kim

Publication date: 15 June 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1297438

zbMATH Keywords

hypergeometric functionAppell functionreduction formulaeHumbert function

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65)

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Cites Work

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• A connection formula between double hypergeometric series Ψ₂and Φ₃
• On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z)
• CERTAIN SUMMATION FORMULAS FOR HUMBERT'S DOUBLE HYPERGEOMETRIC SERIES Ψ₂AND Φ₂
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)

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