Results 11 to 20 of about 203,104 (277)
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Applied Mathematics in Science and Engineering, 2023 Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Lingling Luo +3 more
doaj +1 more source
Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
core +4 more sources
Euler sums of hyperharmonic numbers
Journal of Number Theory, 2015 9 ...
Ayhan Dil, Khristo N. Boyadzhiev
openaire +4 more sources
Note on q-extensions of Euler numbers and polynomials of higher order [PDF]
, 2007 In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$.
Jang, Leechae +2 more
core +2 more sources
Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
Advances in Difference Equations, 2008 By using p-adic q-integrals on ℤp, we define multiple twisted q-Euler numbers and polynomials. We also find Witt's type formula for multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta functions.
Lee-Chae Jang
doaj +1 more source
Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
doaj +1 more source
A Note on the q-Euler Measures
Advances in Difference Equations, 2009 Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q-ℓ-series which interpolate q-Euler numbers at negative ...
Taekyun Kim +2 more
doaj +1 more source
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
doaj +1 more source
ON TWISTED GENERALIZED EULER NUMBERS [PDF]
Bulletin of the Korean Mathematical Society, 2004 Summary: In this paper, we construct generating function of twisted generalized Euler numbers \[ \frac{1-u}{e^t-u}\sum^\infty_{n=0}H^n(u)\frac{t^n}{n!}. \] By using this function, we define twisted generalized Euler polynomials and numbers. We give some basic properties of these polynomials and numbers.
openaire +1 more source
On the 𝑞-Euler Numbers and Polynomials with Weight 0
Abstract and Applied Analysis, 2012 The purpose of this paper is to investigate some properties of 𝑞-Euler numbers and polynomials with weight 0. From those 𝑞-Euler numbers with weight 0, we derive some identities on the 𝑞-Euler numbers and polynomials with weight 0.
T. Kim, J. Choi
doaj +1 more source