Results 11 to 20 of about 46,179 (201)
Explicit Formulas Involving -Euler Numbers and Polynomials [PDF]
Abstract 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 +7 more sources
A note on q-Euler numbers and polynomials [PDF]
Russian 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 +4 more sources
q-analogue of Euler-Barnes' numbers and polynomials [PDF]
Bulletin 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
Ordinary and degenerate Euler numbers and polynomials [PDF]
Journal 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 +2 more sources
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet +2 more
core +6 more sources
Some Relationships between the Analogs of Euler Numbers and Polynomials [PDF]
Journal 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 +4 more sources
On the 𝑞-Euler Numbers and Polynomials with Weight 0 [PDF]
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 +4 more sources
New Approach to q-Euler Numbers and Polynomials [PDF]
Advances in Difference Equations, 2010 We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim +3 more
doaj +4 more sources
Generalizations of Euler numbers and polynomials [PDF]
International 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
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Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials
Axioms, 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
doaj +3 more sources