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A Generalization and Study of New Mock Theta Functions

DOI: 10.5923/j.ajcam.20120202.11

Keywords: Mock theta function, q-Multibasic expansion and q-Integral

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Abstract:

Two sets of mock theta functions were developed, one by Andrews and the other by Bringmann et al. We have given two generalizations and shown they belong to the class of -functions. Relations between these generalized functions is established. Later we give q-Integral representation and multibasic expansions of these generalized -functions.

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