Department of Mathematics, National Defence Academy, Khadakwasla, Pune-411023
Online published on 19 April, 2019.
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.
Mock theta functions, bilateral mock theta functions, Lerch transcendent, F-function