Global Sci-Tech

  • Year: 2018
  • Volume: 10
  • Issue: 1

Properties of certain bilateral mock theta functions-II

1Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India

2Department of Mathematics, National Defence Academy, Khadakwasla, Pune-411023, India

Abstract

Bilateral mock theta functions were obtained and studied in[8]. We express them in terms of Lerch's transcendental function f(x, ξ; q, p). We also express some bilateral mock theta functions as sum of other mock theta functions. We generalize these functions and show that these generalizations are Fq functions. We give an integral representation for these generalized functions.

Keywords

Mock theta functions, bilateral mock theta functions1, Lerchtranscendent, F-function