Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes

DOI10.1016/0377-0427(92)90129-LzbMath0777.65007MaRDI QIDQ1186908

Atul Bhalla, Mark Nardin, Warren F. Perger

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

confluent hypergeometric functioncomplex argumentsKummer's series

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

A technique for developing complete orthonormal basis sets using general solutions of Bessel's differential equation ⋮ A numerical evaluator for the generalized hypergeometric series ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Computing Hypergeometric Functions Rigorously ⋮ On the Computation of Confluent Hypergeometric Functions for Large Imaginary Part of Parameters b and z

Cites Work

• Coulomb and Bessel functions of complex arguments and order
• Computation of Hankel (Bessel) functions of complex index and argument by numerical integration of a schlafli contour integral
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