3 papers
math.CA2026
A degeneration of the generalized Zwegers' -function according to the Ramanujan difference equation
G. Shibukawa, S. Tsuchimi
In this paper, we introduce the little -function, which is obtained as a degenerate limit of the generalized -function. We derive the little -function as the image of the…
math.CA2025
A generalization of Zwegers' multivariable -function
G. Shibukawa, S. Tsuchimi
We introduce a one parameter deformation of Zwegers' multivariable -function by applying iterations of the -Borel summation method, which is also a multivariate analogue of t…
math.CA2024
A solution in terms of mock modular forms for the -Painlevé equation of the type
Satoshi Tsuchimi
We present a solution of the -Painlevé equation in terms of the -function. The -function introduced by Zwegers is the most fundamental object in the stud…