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A new extension of q-Euler numbers and polynomials related to their interpolation functions

- Hacer Ozden, Y. Simsek
- Mathematics, Computer Science
- Appl. Math. Lett.
- 1 September 2008

TLDR

ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS

- I. Cangul, Hacer Ozden, V. Kurt, Y. Simsek
- Mathematics
- 2009

q-Analogue of twisted l-series and q-twisted Euler numbers

- Y. Simsek
- Mathematics
- 1 February 2005

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 these… Expand

Remarks on q-Bernoulli numbers associated with Daehee numbers

- Hacer Ozden, I. Cangul, Y. Simsek
- Mathematics
- 2009

Generating functions of the (h, q) extension of twisted Euler polynomials and numbers

- I. Cangul, Hacer Ozden, Y. Simsek
- Mathematics
- 29 April 2008

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 Mellin… Expand

A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials

- Hacer Ozden, Y. Simsek, H. Srivastava
- Computer Science, Mathematics
- Comput. Math. Appl.
- 1 November 2010

TLDR

A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function

- Y. Simsek, M. Acikgoz
- Mathematics
- 19 January 2010

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 to… Expand

Hermite base Bernoulli type polynomials on the umbral algebra

- Rahime Dere, Y. Simsek
- Mathematics
- 7 October 2011

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 Hermite… Expand

Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function☆

- Y. Simsek
- Mathematics
- 15 December 2006

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 to… Expand

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