Abstract
In this paper, we develop and investigate a new two-parametrized deformation of the Touchard polynomials, based on the definition of the NEXT q-exponential function of Tsallis. We obtain new generalizations of the Stirling numbers of the second kind and of the binomial coefficients and represent two new statistics for the set partitions.
| Original language | English |
|---|---|
| Pages (from-to) | 37-50 |
| Number of pages | 14 |
| Journal | Russian Journal of Mathematical Physics |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2017 |
Bibliographical note
Publisher Copyright:© 2017, Pleiades Publishing, Ltd.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics