Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp
In this paper we consider the Witt's fprmula related to Carlitz's type q-Euler numbers and polynomials.
math.NT↗
arXiv subjects
Cheon-Seoung Ryoo
Publications and source records attributed to Cheon-Seoung Ryoo.
Note on q-extensions of Euler numbers and polynomials of higher order
In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$. By applying their generating functions, they derived the complete sums of products of the twisted $(h,q)$-extension of Euler polynomials and numbers, see[13, 14]. In this paper we cosider the new $q$-extension of Euler numbers and polynomials to be different which is treated by Ozden-Simsek-Cangul. From our $q$-Euler numbers and polynomials we derive some interesting identities and we construct $q$-Euler zeta functions which interpolate the new $q$-Euler numbers and polynomials at a negative integer. Furthermore we study Barnes' type $q$-Euler zeta functions. Finally we will derive the new formula for " sums products of $q$-Euler numbers and polynomials" by using fermionic $p$-adic $q$-integral on $\Bbb Z_p$.
math.NT↗