Degenerate poly-Bell polynomials and numbers

On degenerate numbers and polynomials related to the Stirling numbers and the Bell polynomials

In this paper, we consider the degenerate numbers Rn(λ) and polynomials Rn(x, λ) related to the Stirling numbers and the Bell polynomials. We also obtain some explicit formulas for degenerate numbers Rn(λ) and polynomials Rn(x, λ). AMS subject classification: 11B68, 11S40, 11S80.

A Note on Degenerate Hermite Poly–bernoulli Numbers and Polynomials

In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of d...

Bell polynomials and Fibonacci numbers

Degenerate Changhee-Genocchi numbers and polynomials

*Correspondence: [email protected] 2Graduate School of Education, Konkuk University, Seoul, 143-701, Republic of Korea Full list of author information is available at the end of the article Abstract In this paper, we study some properties of degenerate Changhee-Genocchi numbers and polynomials and give some new identities of these polynomials and numbers which are derived from the generating ...

Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($alpha ,beta $)

The main goal of the present paper is to construct some families of the Carlitz's $q$-Bernoulli polynomials and numbers. We firstly introduce the modified Carlitz's $q$-Bernoulli polynomials and numbers with weight ($_{p}$. We then define the modified degenerate Carlitz's $q$-Bernoulli polynomials and numbers with weight ($alpha ,beta $) and obtain some recurrence relations and other identities...