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Numerical Algorithms

, Volume 76, Issue 2, pp 377–391 | Cite as

New properties of a certain method of summation of generalized hypergeometric series

  • Rafał Nowak
  • Paweł Woźny
Original Paper
  • 74 Downloads

Abstract

In a recent paper (Appl. Math. Comput. 215:1622–1645, 2009), the authors proposed a method of summation of some slowly convergent series. The purpose of this note is to give more theoretical analysis for this transformation, including the convergence acceleration theorem in the case of summation of generalized hypergeometric series. Some new theoretical results and illustrative numerical examples are given.

Keywords

Convergence acceleration Summation Generalized hypergeometric series 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Institute of Computer ScienceUniversity of WrocławWrocławPoland

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