The second Appell function for one large variable

DOI10.1007/s00009-013-0282-0zbMath1280.33012OpenAlexW2115134454MaRDI QIDQ382062

Chelo Ferreira, Ester Pérez Sinusía, José Luis López

Publication date: 18 November 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-013-0282-0

zbMATH Keywords

asymptotic expansionsMellin convolution integralssecond Appell hypergeometric function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Appell, Horn and Lauricella functions (33C65)

Uses Software

• DLMF

Cites Work

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• Specialization of Appell's functions to univariate hypergeometric functions
• Reduction formulas for Appel functions for special values of the variables
• Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\)
• NIST digital library of mathematical functions
• Nonlinear ordinary and partial differential equations associated with Appell functions
• NEW PROPERTIES OF THE P. E. APPELL HYPERGEOMETRIC SERIES F₂(α;β, β′;γ, γ′;x, y) TO THE VICINITY OF THE SINGULAR POINT (1, 1) AND NEAR THE BOUNDARY OF ITS DOMAIN OF CONVERGENCE D₂:|x|+|y|<1
• The Appell’s function $F\textunderscore \{2\}$ for large values of its variables
• Asymptotic Expansions of Mellin Convolution Integrals
• Quadratic Transformations of Appell Functions
• Hypergeometric integrals arising in atomic collisions physics
• The Appell hypergeometric functions and classical separable mechanical systems
• Asymptotic expansions of the Appell’s function 𝐹₁
• Appell Functions and Multiple Averages
• Numerical evaluation of Appell's \(F_1\) hypergeometric function

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