A note on degenerate Bernstein polynomials

A Note on the Modified q-Bernstein Polynomials

A Note on Partially Degenerate Bernoulli Numbers and Polynomials

In this paper, we consider the partially degenerate Bernoulli numbers and polynomials of the first kind and the second kind and investigate some properties of these numbers and polynomials.

A note on degenerate Changhee-Genocchi polynomials and numbers

In this paper, we consider the degenerate Changhee-Genocchi polynomials and numbers, and give some identities for these numbers and polynomials. 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...

A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEAK WEIGHT α AND q-BERNSTEIN POLYNOMIALS†

In this paper we construct a new type of q-Bernstein polynomials related to q-Euler numbers and polynomials with weak weight α ; E (α) n,q , E (α) n,q (x) respectively. Some interesting results and relationships are obtained. AMS Mathematics Subject Classification : 11B68, 11S40, 11S80.