A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\)

zbMath1025.33010MaRDI QIDQ1395155

S. L. Skorokhodov

Publication date: 29 June 2003

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singular pointsefficiencyaccuracyGauss hypergeometric functionregularization methodpolecomputing

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

New series expansions of the Gauss hypergeometric function ⋮ Computing the Kummer function \(U\)(\textit{a, b, z}) for small values of the arguments ⋮ Numerical evaluation of the Gauss hypergeometric function by power summations

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