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A new extension of q-Euler numbers and polynomials related to their interpolation functions
TLDR
A new approach to generating functions of the ( h , q ) -Euler numbers and polynomials attached to a Dirichlet character χ . Expand
q-Analogue of twisted l-series and q-twisted Euler numbers
We define generating functions of q-generalized Euler numbers and polynomials and twisted q-generalized Euler numbers and polynomials. By using these functions, we give some properties of theseExpand
Generating functions of the (h, q) extension of twisted Euler polynomials and numbers
By using p-adic q-deformed fermionic integral on ℤp, we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. By applying MellinExpand
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
TLDR
The goal of this paper is to unify and extend the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials associated with the positive real parameters a and b and the complex parameter @b. Expand
A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
The main object of this paper is to construct a new generating function of the () Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function,Expand
Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
The aim of this paper is to construct new Dedekind type sums. We construct generating functions of Barnes' type multiple Frobenius-Euler numbers and polynomials. By applying Mellin transformation toExpand
Hermite base Bernoulli type polynomials on the umbral algebra
The aim of this paper is to construct new generating functions for Hermite base Bernoulli type polynomials, which generalize not only the Milne-Thomson polynomials but also the two-variable HermiteExpand
Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function☆
Abstract In this paper, by using q-Volkenborn integral, we construct new generating functions of the new twisted ( h , q ) -Bernoulli polynomials and numbers. By applying the Mellin transformation toExpand
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