On the Generalized Euler Polynomials of the Second Kind

Abstract

In this paper, our aim is finding the term of generalized Euler polynomials. We also obtain some identities and relations involving the Bernoulli numbers, the Euler numbers and the Stirling numbers.

Symmetric properties for the second kind generalized (h,q)-Euler polynomials

“…First, we introduced the second kind Euler numbers and Euler polynomials(cf. [3,4,5,6]). We investigated the zeros of the second kind Euler polynomials E n (x).…”

SYMMETRIC IDENTITIES FOR THE HIGHER-ORDER TWISTED $(h, q)$-EULER NUMBERS AND POLYNOMIALS

“…Many mathematicians have studied in the area of the q-extension of Euler numbers and polynomials(see [1,2,3,5,6,7,8,9,11,13]). Recently, Y.…”

Nonlinear differential equations associated with degenerate tangent numbers

“…The special polynomials of more than one variable provide new means of analysis for the solutions of a wide class of differential equations often encountered in physical problems. Very recently, many mathematicians have studied in the area of the Euler numbers, Bernoulli numbers, tangent numbers, degenerate Euler numbers, degenerate Bernoulli numbers, and degenerate tangent numbers(see [1,2,3,6,7,8,9,10]). In [1], L. Carlitz introduced the degenerate Bernoulli polynomials.…”