XL Workshop on Geometric Methods in Physics Białowieża, 2-8.07.2023 XII School on Geometry and Physics Białystok, 26-30.06.2023

Akira Yoshioka


Star Product and Several Star Functions


One parameter deformation of function is given by means of convergent star product,
where the deformation parameter varies in some domain of $\mathbb C$.
The deformed functions are called {\it star functions}.
In this presentation, we discuss, as a simple case, a star product of functions of one variable,
and then the product becomes commutative and associative. Several concrete examples,
e.g., star Gamma function, are given together with their basic identities.
Event sponsored by
University of Białystok
University of Białystok
Doskonala Nauka