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math.CA2023
-difference equations satisfied by the universal mock theta functions
Satoshi Tsuchimi
In this paper, we give fundamental solutions of some -difference equations satisfied by the universal mock theta functions and the higher level Appell functions. As an applicati…
math.CA2023
The generalized Zwegers' -function and transformation formulas for the bilateral basic hypergeometric series
Genki Shibukawa, Satoshi Tsuchimi
By applying Slater's transformation formulas for the bilateral basic hypergeometric series , we derive three type translation formulas for the generalized Zwegers' -f…