Decomposition formulas for the double hypergeometric functions \(G_{1}\) and \(G_{2}\)

DOI10.1016/j.amc.2006.08.115zbMath1112.33012OpenAlexW2072090484MaRDI QIDQ884106

Mamasali Turaev, Anvar Hasanov

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.115

zbMATH Keywords

Appell functionsinverse pairs of symbolic operatorsHorn functionsand integral representationsdouble hypergeometric function

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (6)

Certain transformations for multiple hypergeometric functions ⋮ Unnamed Item ⋮ Symbolic operational images and decomposition formulas for hypergeometric functions ⋮ Remark on certain transformations for multiple hypergeometric functions ⋮ On some formulas for the Horn functions G₁ (a, b, b′;w, z) and Γ₂ (b, b′;w, z) ⋮ On some formulas for the Horn functions G₂ (a, a′, b, b′; w, z), G₃ (a, a′; w, z) and Γ₁ (a, b, b′; w, z)

Cites Work

• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• Hypergeometric functions of two variables
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS
• Hypergeometrische Funktionen zweier Veränderlichen
• Hypergeometrische Funktionen zweier Veränderlichen
• Hypergeometrische Funktionen zweier Veränderlichen im Schnittpunkt dreier Singularitäten
• Unnamed Item

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