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A new summation method for power series with rational coefficients |
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| Authors: | Silvia Dassié Marco Vianello Renato Zanovello. |
| Affiliation: | Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy Marco Vianello ; Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy ; Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy |
| 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. |
| Keywords: | Slowly convergent power series rational coefficients asymptotic expansions asymptotic summation |
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