• Two remarkable doubly exponential series transformations of Ramanujan

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    • Keywords

       

      Doubly exponential series; Bernoulli numbers; gamma function; Poisson summation

    • Abstract

       

      The purpose of this note is to prove two doubly exponential series transformations found in Ramanujan’s second notebook.

    • Author Affiliations

       

      Bruce C Berndt1 James Lee Hafner1 2

      1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL - 61801, USA
      2. IBM Research Division, Almaden Research Center, K53/802, 650 Harry Road, San Jose, CA - 95120-6099, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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