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Ural Mathematical Journal, 2020, Volume 6, Issue 1, Pages 137–146
DOI: https://doi.org/10.15826/umj.2020.1.011
(Mi umj117)
 

On generalized eighth order mock theta functions

Pramod Kumar Rawat

University of Lucknow
References:
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.
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Document Type: Article
Language: English
Citation: Pramod Kumar Rawat, “On generalized eighth order mock theta functions”, Ural Math. J., 6:1 (2020), 137–146
Citation in format AMSBIB
\Bibitem{Raw20}
\by Pramod~Kumar~Rawat
\paper On generalized eighth order mock theta functions
\jour Ural Math. J.
\yr 2020
\vol 6
\issue 1
\pages 137--146
\mathnet{http://mi.mathnet.ru/umj117}
\crossref{https://doi.org/10.15826/umj.2020.1.011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR4128766}
\zmath{https://zbmath.org/?q=an:1443.11046}
\elib{https://elibrary.ru/item.asp?id=43793630}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85090678343}
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