International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 1

Different Mock Theta functions

  • Author:
  • Roselin Antony
  • Total Page Count: 6
  • Page Number: 117 to 122

Roselin Antony, Dept.of Mathematics, College of Natural and Computational Sciences, Mekelle University, Mekelle, Ethiopia

Online published on 25 April, 2019.

Abstract

Ramanujan gave 17 examples of mock theta functions stated numerous identities and asymptotic properties for them. The first detailed description of these functions was given by Watson in his celebrated Presidential Address delivered at the meeting of the London Mathematical Society in November, 1935. In this present communication we list all possible mock theta functions of different orders and give a brief introduction to mock theta functions.

Keywords

Ramanujan's mock theta functions, Identities, q-series, partition functions, Mock theta conjectures