Results 1 to 10 of about 46,179 (201)

A Note on Nörlund-Type Twisted q-Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant q-Integrals

Journal of Inequalities and Applications, 2010
We define multiple Nörlund-type twisted q-Euler polynomials and numbers and give interpolation functions of multiple Nörlund-type twisted q-Euler polynomials at negative integers.
Leechae Jang
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

On the Higher-Order q-Euler Numbers and Polynomials with Weight α

Discrete Dynamics in Nature and Society, 2011
The main purpose of this paper is to present a systemic study of some families of higher-order q-Euler numbers and polynomials with weight α. In particular, by using the fermionic p-adic q-integral on ℤp, we give a new concept of q-Euler numbers and ...
K.-W. Hwang, D. V. Dolgy, T. Kim, S. H. Lee   +3 more
doaj   +1 more source

New Approach to -Euler Numbers and Polynomials

Advances in Difference Equations, 2010
We give a new construction of the -extensions of Euler numbers and polynomials. We present new generating functions which are related to the -Euler numbers and polynomials.
Jang Lee-Chae, Rim Seog-Hoon, Kim Taekyun, Kim Young-Hee   +3 more
doaj  

Identities associated with Milne–Thomson type polynomials and special numbers

Journal of Inequalities and Applications, 2018
The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
doaj   +1 more source

Combinatorial identities associated with new families of the numbers and polynomials and their approximation values

, 2017
Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
core  

Sums of Products of -Euler Polynomials and Numbers

Journal of Inequalities and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hwang Kyung-Won, Kim Young-Hee, Kim Taekyun   +2 more
openaire   +4 more sources

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

The Modified q-Euler numbers and polynomials

, 2007
In the recent paper the interesting q-Euler numbers and polynomials introduced in JMAA. The purpose of this paper is to construct the modified q-Euler numbers and polynomiasl. Finally we will give the interesting many identities related to these numbers and polynomials.
openaire   +2 more sources

Modified Apostol-Euler numbers and polynomials of higher order

Tbilisi Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin-Saad, Maged G., Bin-Alhag, Ali Z.
openaire   +3 more sources