On the Computation of Confluent Hypergeometric Functions for Large Imaginary Part of Parameters b and z

DOI10.1007/978-3-319-42432-3_30zbMath1437.33006OpenAlexW2481267302MaRDI QIDQ2819223

Guillermo Navas-Palencia, Argimiro A. Arratia

Publication date: 28 September 2016

Published in: Mathematical Software – ICMS 2016 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42432-3_30

zbMATH Keywords

steepest descentconfluent hypergeometric functioncomplex numbers

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

Uses Software

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• DLMF
• mpmath
• GSL
• SciPy

Cites Work

• Numerical methods for the computation of the confluent and Gauss hypergeometric functions
• Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Algorithm 707: CONHYP: a numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes

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