On certain Ramanujan's mock theta functions |
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Authors: | Anju Gupta |
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Institution: | 1. Department of Mathematics and Astronomy, University of Lucknow, 226 007, Lucknow, India
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Abstract: | Ramanujan's last gift to the mathematicians was his ingeneous discovery of the mock theta functions of order three, five and seven. Recently, Andrews and Hickerson found a set of seven more functions in Ramanujan's Lost Note Book and formally labelled them as mock theta functions of order six. In this paper the complete forms of these functions have been studied and connected with the bilateral basic hypergeometric series2Ψ2. Several other interesting properties and transformations have also been studied. |
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