Deaño, Alfredo, Segura, Javier (2007) Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Mathematics of Computation, 76 (258). pp. 879-901. ISSN 0025-5718. (doi:10.1090/S0025-5718-07-01934-5) (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:70230)
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/10.1090/S0025-5718-07-01934-5 |
Abstract
Three term recurrence relations yn+1 +bnyn +anyn?1 = 0 can be
on the asymptotic nature of the function to be computed, different recursion
for dominant solutions. However, some solutions interchange their role for
solutions may transitorily behave as minimal. This phenomenon, related
confluent hypergeometric functions, is shown to be a general situation which
analyze the anomalous convergence of the associated continued fractions for
and Gauss hypergeometric functions) and discuss the implication of such
transitory behaviour on the numerical stability of recursion.
Item Type: | Article |
---|---|
DOI/Identification number: | 10.1090/S0025-5718-07-01934-5 |
Uncontrolled keywords: | Hypergeometric functions, recurrence relations, condition and stability, continued fractions, numerical evaluation of special functions. |
Subjects: |
Q Science > QA Mathematics (inc Computing science) 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 10:46 UTC |
Last Modified: | 16 Feb 2021 13:59 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/70230 (The current URI for this page, for reference purposes) |
Deaño, Alfredo: | ![]() |
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