Published January 1, 2018
| Version v1
Journal article
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ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND
Creators
- 1. Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
- 2. Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey
Description
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations among q-Bernoulli numbers and polynomials, and newly defined (q, r, w)Stirling numbers of the second kind. We also obtain q-Bernstein polynomials as a linear combination of (q, r, w)-Stirling numbers of the second kind and q-Bernoulli polynomials in w.
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