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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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Srivastava, A.K. On partial sums of mock theta functions of order three. Proc. Indian Acad. Sci. (Math. Sci.) 107, 1–12 (1997). https://doi.org/10.1007/BF02840468

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  • DOI: https://doi.org/10.1007/BF02840468

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