Results 1 to 10 of about 47,867 (185)
Explicit Formulas Involving -Euler Numbers and Polynomials [PDF]
We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator.
Serkan Araci +2 more
doaj +9 more sources
A note on q-Euler numbers and polynomials [PDF]
The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.Comment: 6 ...
A. S. Hegazi +20 more
core +6 more sources
Ordinary and degenerate Euler numbers and polynomials [PDF]
In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
doaj +4 more sources
Euler Numbers and polynomials associated with zeta functions [PDF]
In this paper we give some interesting identities between Euler numbers and zeta functions.
Kim, Taekyun
core +9 more sources
Some Relationships between the Analogs of Euler Numbers and Polynomials [PDF]
We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions.
C. S. Ryoo, Lee-Chae Jang, T. Kim
doaj +5 more sources
On the 𝑞-Euler Numbers and Polynomials with Weight 0 [PDF]
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 +6 more sources
Generalizations of Euler numbers and polynomials [PDF]
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are investigated.
Qiu-Ming Luo, Feng Qi, Lokenath Debnath
doaj +3 more sources
Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
exaly +4 more sources
q-analogue of Euler-Barnes' numbers and polynomials [PDF]
We construct the q-analogue of Euler-Barnes' numbers and polynomials, and investigate their some properties.Comment: 9 ...
Jang, Lee-Chae, Kim, Taekyun
core +4 more sources
New q-Euler numbers and polynomials associated with p-adic q-integrals [PDF]
In this paper we study q-Euler numbers and polynomials by using p-adic q-fermionic integrals on Z_p.
J. Y. Choi +8 more
core +2 more sources

