An entry of Ramanujan on hypergeometric series in his notebooks

  • Authors:

  • K. Srinivasa Rao;G. Vanden Berghe;C. Krattenthaler

  • Affiliations:

  • Flemish Academic Center (VLAC), Royal Flemish Acad. of Belgium for Sci. and the Arts, Paleis der Academiën Hertogsstraat 1, Brussels and The Inst. of Math. Sci., CIT Campus, Taramani, Chennai ...;Flemish Academic Center (VLAC), Royal Flemish Acad. of Belgium for Sci. and the Arts, Paleis der Academiën Hertogsstraat 1, Brussels and Universiteit Gent, Toegepaste Wiskunde en Informatica, ...;Institut Girard Desargues, Université Claude Bernard Lyon-I, 21, avenue Claude Bernard, Villeurbanne F-69622, Cedex, France

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2005

Quantified Score

Hi-index 7.29

Visualization

Abstract

Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for 3F2(a,a,x; 1+a, 1+a+N; 1), where N is a nonnegative integer, is derived.