On several unified reduction formulas for the Humbert function \(\Phi_2\) with applications

DOI10.1007/s13398-020-00797-4zbMath1434.33021OpenAlexW2999797237MaRDI QIDQ2293224

Medhat A. Rakha, Arjun K. Rathie, Yong Sup Kim

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00797-4

zbMATH Keywords

hypergeometric functionAppell functionreduction formulasHumbert function

Mathematics Subject Classification ID

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

Uses Software

• HYPERDIRE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables
• Finding new relationships between hypergeometric functions by evaluating Feynman integrals
• Some properties of the OwenT-function
• On some properties of the Nuttall functionQ_{μ, ν}(a, b)
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Reduction formulas for the Appell and Humbert functions
• Analytic Expressions and Bounds for Special Functions and Applications in Communication Theory
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• 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
• A special function of communication theory
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS