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    • On the use of generalized Euler transformation in handling divergent series

      Kamal Bhattacharyya

      Volume 99 Issue 1-2 August 1987 pp 9-20

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/jcsc/099/01-02/0009-0020

    • Keywords

       

      Power series; divergence; perturbation theory; asymptotic expansions; Euler transformation

    • Abstract

       

      A parametrized version of the Euler transformation, introduced fairly recently, is employed to study the behaviour of functions, given their formal power-series (alternating) expansions in λ with finite radii of convergence, in the limit λ»∞. The strategy requires only the first few low-order data. Results are tested with quite a few known cases and found remarkably satisfactory. The role of some other methods in this context are briefly discussed.

    • Author Affiliations

       

      Kamal Bhattacharyya1

      1. Department of Chemistry, University of Burdwan, Golapbag, Burdwan - 713 104, India

    • Dates

       
      Published
      August 1987

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