International Journal of Engineering, Science and Mathematics
(IJMRA Publications)-
Peer Reviewed Refereed Journal
 

...

Pages: 224-231

Date of Publication: 21-Oct-2017

PROPERTIES OF CERTAIN BILATERAL MOCK THETA FUNCTIONS-III

Author: Mohammad Ahmad

Category: Engineering, Science and Mathematics

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Abstract:

Bilateral mock theta functions were obtained and studied in [22]. We express them in terms of Lerch__ampersandsign#39;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.