Deaño, Alfredo and Gil, Amparo and Segura, Javier (2006) Computation of real zeros of the Kummer function M(a;c;x). In: Mathematical Software - ICMS 2006 Second International Congress on Mathematical Software. Lecture Notes in Computer Science . Springer, Berlin, Germany, pp. 296-307. ISBN 978-3-540-38084-9. E-ISBN 978-3-540-38086-3. (doi:10.1007/11832225_30) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70227)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1007/11832225_30 |
Abstract
An algorithm for computing the real zeros of the Kummer function M(a;c;x) is presented. The computation of ratios of functions of the type M(a+1; c+1; x)/M(a; c; x), M(a+1; c; x)/M(a; c; x) plays a key role in the algorithm, which is based on global fixed-point iterations. We analyse the accuracy and efficiency of three continued fraction representations converging to these ratios as a function of the parameter values. The condition of the change of variables appearing in the fixed point method is also studied. Comparison with implicit Maple functions is provided, including the Laguerre polynomial case.
| Item Type: | Book section |
|---|---|
| DOI/Identification number: | 10.1007/11832225_30 |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Alfredo Deano Cabrera |
| Date Deposited: | 21 Nov 2018 10:42 UTC |
| Last Modified: | 16 Nov 2021 10:25 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70227 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Deaño, Alfredo.
| Creator's ORCID: |
 https://orcid.org/0000-0003-1704-247X
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