Computing the hypergeometric function

DOI10.1006/jcph.1997.5794zbMath0886.65009OpenAlexW2078621453MaRDI QIDQ1375503

Robert C. Forrey

Publication date: 13 April 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5794

zbMATH Keywords

Fortran programChebyshev expansionsgamma functionscGauss hypergeometric function \(_ 2F_ 1(a,bx)\)

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items (16)

The ABC of hyper recursions ⋮ Closed expressions for matrix elements of the trigonometric Pöschl-Teller potential ⋮ Acoustic Propagation in a Medium with Spatially Distributed Relaxation Processes and a Possible Explanation of a Frequency Power Law Attenuation ⋮ Computing the Kummer function \(U\)(\textit{a, b, z}) for small values of the arguments ⋮ Acceleration of generalized hypergeometric functions through precise remainder asymptotics ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Hyperbolic graph generator ⋮ The analytic continuation of the Gaussian hypergeometric function \(_2F_1(a,b;c;z)\) for arbitrary parameters ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems ⋮ Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions ⋮ Numerical evaluation of Appell's \(F_1\) hypergeometric function ⋮ Computing Hypergeometric Functions Rigorously ⋮ Identifying the computational problem in applied statistics ⋮ Numerical evaluation of the Gauss hypergeometric function by power summations ⋮ STUDY OF NUCLEAR BOUND STATES USING MEAN-FIELD WOODS–SAXON AND SPIN-ORBIT POTENTIALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on uniform asymptotic expansions for Bessel functions
• Computation of Bethe logarithms and other matrix elements of analytic functions of operators
• Bounds for the Appell function \(F_ 2\)

This page was built for publication: Computing the hypergeometric function