• On partial sums of mock theta functions of order three

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      https://www.ias.ac.in/article/fulltext/pmsc/107/01/0001-0012

    • Keywords

       

      Mock theta function; basic hypergeometric series; continued fractions

    • Abstract

       

      The object of this paper is to define and study the properties of partial mock theta functions of order three, on the lines Ramanujan had studied partial θ-functions. These new partial functions have been expressed in terms of basic hypergeometric function2Φ1. Their continued fractions representations have also been given.

    • Author Affiliations

       

      Anand Kumar Srivastava1

      1. Department of Mathematics and Astronomy, Lucknow University, Lucknow - 226007, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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