S. Tsuchimi

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math.CA2026

A degeneration of the generalized Zwegers' $I^¼$ -function according to the Ramanujan difference equation

G. Shibukawa, S. Tsuchimi

In this paper, we introduce the little $I^¼$ -function, which is obtained as a degenerate limit of the generalized $I^¼$ -function. We derive the little $I^¼$ -function as the image of t…

math.CA2025

A generalization of Zwegers' multivariable $I^¼$ -function

G. Shibukawa, S. Tsuchimi

We introduce a one parameter deformation of Zwegers' multivariable $I^¼$ -function by applying iterations of the $q$ -Borel summation method, which is also a multivariate analogue of…

math.CA2024

Satoshi Tsuchimi

We present a solution of the $(A_{2} + A_{1})^{(1)}$ $q$ -PainlevÃ© equation in terms of the $I^¼$ -function. The $I^¼$ -function introduced by Zwegers is the most fundamental object in the s…

A degeneration of the generalized Zwegers' I^¼-function according to the Ramanujan difference equation

A generalization of Zwegers' multivariable I^¼-function

A solution in terms of mock modular forms for the q-PainlevÃ© equation of the type (A2​+A1​)(1)

A degeneration of the generalized Zwegers' $I^¼$ -function according to the Ramanujan difference equation

A generalization of Zwegers' multivariable $I^¼$ -function

A solution in terms of mock modular forms for the $q$ -PainlevÃ© equation of the type $(A_{2} + A_{1})^{(1)}$