Results 61 to 70 of about 799 (105)

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 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

Identities of symmetry for q-Euler polynomials [PDF]

, 2010
In this paper, we derive eight basic identities of symmetry in three variables related to $q$-Euler polynomials and the $q$-analogue of alternating power sums.
Kim, Dae San
core  

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

Some symmetric identities for the higher-order q-Euler polynomials related to symmetry group S3 arising from p-adic q-fermionic integrals on Zp

Filomat, 2016
The purpose of this paper is to give some new symmetric identities for the higher-order q-Euler polynomials of the first kind related to symmetry group S3 arising from p-adic q-fermionic integrals on Zp.
Dae Kim, Taekyun Kim
openaire   +2 more sources

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

The fermionic p-adic integrals on Zp associated with extended q-Euler numbers and polynomials

, 2009
The purpose of this paper is to present a systemic study of some families of q-Euler numbers and polynomials of Norlund's type by using multivariate fermionic p-adic integral on Zp. Moreover, the study of these higher-order q-Euler numbers and polynomials implies some interesting q-analogue of stirling numbers identities.
openaire   +2 more sources

A Note on Hölder Type Inequality for the Fermionic -Adic Invariant -Integral

Journal of Inequalities and Applications, 2009
The purpose of this paper is to find Hölder type inequality for the fermionic -adic invariant -integral which was defined by Kim (2008).
Jang Lee-Chae
doaj  

A note on the modified q-Dedekind sums

, 2013
In the present paper, the fundamental aim is to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order modified Dedekind-type sums related to q-Genocchi polynomials with weight alpha by using fermionic p ...
Acikgoz, Mehmet, Araci, Serkan, Şen, Erdoğan   +2 more
core  

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