On partial sums of mock theta functions of order three |
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Authors: | Anand Kumar Srivastava |
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Institution: | (1) Department of Mathematics and Astronomy, Lucknow University, 226007 Lucknow, India |
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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. |
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Keywords: | Mock theta function basic hypergeometric series continued fractions |
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