International Journal of Engineering, Science and Mathematics

  • Year: 2017
  • Volume: 6
  • Issue: 6

Properties of Certain Bilateral Mock Theta Functions-III

  • Author:
  • Mohammad Ahmad
  • Total Page Count: 9
  • DOI:
  • Page Number: 224 to 232

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

Abstract

Bilateral mock theta functions were obtained and studied in [22]. We express them in terms of Lerch's transcendental function f(x, e;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 functions, Lerch transcendent, F-function