More on some Mock theta Double sums
Alexander E Patkowski
TL;DR
This paper explores new double-sum q-series related to mock theta functions, building on Bailey pairs, and establishes novel relationships among mock theta functions and between different Bailey pairs.
Contribution
It introduces new double-sum q-series and links Bailey pairs from Bringmann-Kane and Andrews, advancing understanding of mock theta functions.
Findings
New double-sum q-series expressions for mock theta functions
Relationships among mock theta functions established
Connection between Bailey pairs of Bringmann-Kane and Andrews
Abstract
We offer some further applications of some Bailey pairs related to some mock theta functions which were established in a recent study. We discuss and offer some double-sum -series, with new relationships among mock theta functions. We also offer a new relationship between the Bailey pair of Bringmann and Kane with that of Andrews.
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