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Computation of real zeros of the Kummer function M(a;c;x)

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)

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. (Contact us about this Publication)
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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Alfredo Deano-Cabrera
Date Deposited: 21 Nov 2018 10:42 UTC
Last Modified: 29 May 2019 13:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/70227 (The current URI for this page, for reference purposes)
Deaño, Alfredo: https://orcid.org/0000-0003-1704-247X
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