INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 6, Issue 6, October 2017

Pages: 224-231

Date of Publication: 21-Oct-2017

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PROPERTIES OF CERTAIN BILATERAL MOCK THETA FUNCTIONS-III

Author: Mohammad Ahmad

Category: Engineering, Science and Mathematics

Abstract:

Bilateral mock theta functions were obtained and studied in [22]. We express them in terms of Lerch's transcendental function . 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 functions. We give an integral representation for these generalized functions.

Keywords: Mock theta functions; bilateral mock theta functions ; Lerch transcendent; F-function.