Numerical evaluation of Appell's \(F_1\) hypergeometric function

DOI10.1016/S0010-4655(01)00186-2zbMath0984.65017WikidataQ105646459 ScholiaQ105646459MaRDI QIDQ5944593

Flavio D. Colavecchia, Gustavo Gasaneo, J. E. Miraglia

Publication date: 14 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleshypergeometric functionAppell functionsGauss functionHorn function

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Appell, Horn and Lauricella functions (33C65)

Related Items (12)

NumExp: numerical epsilon expansion of hypergeometric functions ⋮ The second Appell function for one large variable ⋮ On a bivariate copula with both upper and lower full-range tail dependence ⋮ On the evaluation of the Appell \(F_2\) double hypergeometric function ⋮ A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions ⋮ Explicit expressions for the variogram of first-order intrinsic autoregressions ⋮ Asymptotic analysis via calculus of hypergeometric functions ⋮ Equilibrium locations for nested carbon nanocones ⋮ F1: a code to compute Appell's \(F_{1}\) hypergeometric function ⋮ Suction energy and offset configuration for double-walled carbon nanotubes ⋮ The Appell’s function $F\textunderscore \{2\}$ for large values of its variables ⋮ Asymptotics of the first Appell functionF₁with large parameters II

Uses Software

• F1

Cites Work

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• Computing the hypergeometric function
• Hypergeometric functions of two variables
• Hypergeometric integrals arising in atomic collisions physics
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
• Reduction of an Integral in the Theory of Bremsstrahlung
• DIFFERENTIAL EQUATIONS ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS
• Hypergeometrische Funktionen zweier Veränderlichen

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