Results 51 to 60 of about 225 (100)

Some identities of special numbers and polynomials arising from p-adic integrals on Zp $\mathbb{Z}_{p}$

Advances in Difference Equations, 2019
In recent years, studying degenerate versions of various special polynomials and numbers has attracted many mathematicians. Here we introduce degenerate type 2 Bernoulli polynomials, fully degenerate type 2 Bernoulli polynomials, and degenerate type 2 ...
Dae San Kim, Han Young Kim, Sung-Soo Pyo, Taekyun Kim   +3 more
doaj   +1 more source

A Study on the Fermionic -Adic -Integral Representation on ℤ Associated with Weighted -Bernstein and -Genocchi Polynomials

, 2011
We consider weighted -Genocchi numbers and polynomials. We investigated some interesting properties of the weighted -Genocchi numbers related to weighted -Bernstein polynomials by using fermionic -adic integrals on ...
Jong Jin Seo, Dilek Erdal, Serkan Araci
core   +1 more source

On the behavior of two variable twisted p-adic Euler q - l-functions

, 2009
In this paper, we study on (h, q)-Euler-zeta and l-functions. We give relations between twisted (h, q)-partial zeta function twisted (h, q)-Euler-zeta and twisted two variable (h, q)-Euler l-functions. We also give the value of twisted two variable (h, q)
Şimşek, Yılmaz
core   +1 more source

A Note on Type 2 Degenerate q-Euler Polynomials

Mathematics, 2019
Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim, Dae San Kim, Han Young Kim, Sung-Soo Pyo   +3 more
doaj   +1 more source

On the degenerate (h,q) $(h,q)$-Changhee numbers and polynomials

Journal of Inequalities and Applications, 2019
The Changhee numbers and polynomials are introduced by Kim, Kim and Seo (Adv. Stud. Theor. Phys. 7(20):993–1003, 2013), and the generalizations of those polynomials are characterized.
Yunjae Kim, Jin-Woo Park
doaj   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

On some polynomials derived from (p,q)-calculus

, 2016
We consider the new generating functions of the Bernoulli, the Euler and the Genocchi polynomials under post quantum calculus. From those generating functions, we analyse the behaviours of the polynomials mentioned in the paper.
Aracı, Serkan, Duran, Uğur, Ugur Duran, Mehmet Acikgoz, Serkan Araci, Açıkgöz, Mehmet   +5 more
core   +1 more source

SYMMETRIC IDENTITIES INVOLVING CARLITZ'S-TYPETWISTED (h,q)-TANGENT-TYPE POLYNOMIALS UNDER S₅

Journal of New Theory, 2016
– In [11], Ryoo introduced the Carlitz’s-type twisted (h,q)-Tangent numbers and polynomials. In this paper, we consider some new symmetric identities involving Ryoo’s Carlitz’s-type twisted (h,q) Tangenttype polynomials arising from the fermionic p-adic ...
Uğur Duran, Mehmet Açıkgöz
doaj  

Fermionic T-duality and U-duality in type II supergravity

, 2011
PhDThis thesis deals with the two duality symmetries of N = 2 D = 10 supergravity theories that are descendant from the full superstring theory: fermionic T-duality and U-duality.
Bakhmatov, Ilya
core  

On Carlitz's Type -Euler Numbers Associated with the Fermionic -Adic Integral on

Journal of Inequalities and Applications, 2010
We consider the following problem in the paper of Kim et al. (2010): "Find Witt's formula for Carlitz's type -Euler numbers." We give Witt's formula for Carlitz's type -Euler numbers, which is an answer to the above problem.
Kim Taekyun, Ryoo Cheon-Seoung, Kim Min-Soo   +2 more
doaj