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On partial sums of mock theta functions of order three
Authors:Anand Kumar Srivastava
Institution:(1) Department of Mathematics and Astronomy, Lucknow University, 226007 Lucknow, India
Abstract:The object of this paper is to define and study the properties of partial mock theta functions of order three, on the lines Ramanujan had studied partial θ-functions. These new partial functions have been expressed in terms of basic hypergeometric function2Φ1. Their continued fractions representations have also been given.
Keywords:Mock theta function  basic hypergeometric series  continued fractions
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