2025
Computation of the confluent hypergeometric function M(a, b, x)
Publication
Publication
Presented at the
International Conference on Numerical Computations: Theory and Algorithms (NUMTA 2023) (June 2023), Pizzo Calabro, Italy
The computation of the Kummer function M(a, b, x) is considered in this paper.An efficient and accurate algorithm combining asymptotic expansions for large values of the parameters and power series is presented. Numerical tests show that a Matlab implementation of the algorithm allows the computation of the function with relative accuracy in the parameter region in double precision floating point arithmetic.
| Additional Metadata | |
|---|---|
| doi.org/10.1007/978-3-031-81244-6_26 | |
| Lecture Notes in Computer Science | |
| International Conference on Numerical Computations: Theory and Algorithms (NUMTA 2023) | |
| Organisation | Scientific Computing |
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Gil, A., Ruiz-Antolin, D., Segura, J., & Temme, N. (2025). Computation of the confluent hypergeometric function M(a, b, x). In Proceedings of the International Conference on Numerical Computations: Theory and Algorithms (pp. 275–280). doi:10.1007/978-3-031-81244-6_26 |
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