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Explicit Formulas Involving -Euler Numbers and Polynomials [PDF]

open access: yesAbstract and Applied Analysis, 2012
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]

open access: yesRussian Journal of Mathematical Physics, 2006
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]

open access: yesJournal of Inequalities and Applications, 2019
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]

open access: yesAbstract and Applied Analysis, 2008
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]

open access: yesJournal of Inequalities and Applications, 2007
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]

open access: yesAbstract 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   +6 more sources

Generalizations of Euler numbers and polynomials [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
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

open access: yesAxioms, 2012
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]

open access: yesBulletin of the Korean Mathematical Society, 2005
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]

open access: yes, 2007
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

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