On generalized eighth order mock theta functions

Pramod Kumar Rawat

University of Lucknow

Abstract: In this paper we have generalized eighth order mock theta functions, recently introduced by Gordon and MacIntosh involving four independent variables. The idea of generalizing was to have four extra parameters, which on specializing give known functions and thus these results hold for those known functions. We have represented these generalized functions as $q$-integral. Thus on specializing we have the classical mock theta functions represented as $q$-integral. The same is true for the multibasic expansion given.

Keywords: $q$-Hypergeometric series, Mock theta functions, Continued fractions, $q$-Integrals.

Language: English

DOI: 10.15826/umj.2020.1.011

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