A new summation method for power series with rational coefficients
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- by Silvia Dassié, Marco Vianello and Renato Zanovello PDF
- Math. Comp. 69 (2000), 749-756 Request permission
Abstract:
We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented.References
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Additional Information
- Silvia Dassié
- Affiliation: Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
- Marco Vianello
- Affiliation: Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
- Email: marcov@math.unipd.it
- Renato Zanovello
- Affiliation: Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
- Email: zanov@math.unipd.it
- Received by editor(s): April 28, 1998
- Published electronically: May 21, 1999
- Additional Notes: Work supported, in part, by the Italian MURST, and by the GNIM-CNR
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 749-756
- MSC (1991): Primary 65B10, 65D20; Secondary 33E20, 41A60
- DOI: https://doi.org/10.1090/S0025-5718-99-01113-8
- MathSciNet review: 1651749