Results 21 to 30 of about 12,867 (291)

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials [PDF]

Mathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci, Rekha Srivastava, Diego Caratelli   +2 more
doaj   +2 more sources

On q-Euler Numbers Related to the Modified q-Bernstein Polynomials

Abstract and Applied Analysis, 2010
We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified
Min-Soo Kim, Daeyeoul Kim, Taekyun Kim
doaj   +2 more sources

Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0 [PDF]

Abstract and Applied Analysis, 2013
We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. From this, we derive some identities on -Euler numbers and polynomials of higher order with weight 0.
Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim   +2 more
doaj   +2 more sources

Generalized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities [PDF]

Journal of Inequalities and Applications, 2010
We give a new construction of the q-Euler numbers and polynomials of higher order attached to Dirichlet's character χ. We derive some theoretic identities involving the generalized q-Euler numbers and polynomials of higher order.
T. Kim, Y. H. Kim
doaj   +2 more sources

Derivation of Identities Involving Bernoulli and Euler Numbers [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
We derive some new and interesting identities involving Bernoulli and Euler numbers by using some polynomial identities and p-adic integrals on ℤ𝑝.
Imju Lee, Dae San Kim
doaj   +2 more sources

Identities Involving q-Bernoulli and q-Euler Numbers [PDF]

Abstract and Applied Analysis, 2012
We give some identities on the q-Bernoulli and q-Euler numbers by using p-adic integral equations on ℤp.
D. S. Kim, T. Kim, J. Choi, Y. H. Kim
doaj   +2 more sources

On the Symmetric Properties of Higher-Order Twisted q-Euler Numbers and Polynomials

Advances in Difference Equations, 2010
In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted q-Euler numbers and polynomials.
Sun-Jung Lee, Seog-Hoon Rim, Jeong-Hee Jin, Eun-Jung Moon   +3 more
doaj   +2 more sources

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

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   +2 more sources

A Note on the 𝑞-Euler Numbers and Polynomials with Weak Weight 𝛼 [PDF]

Journal of Applied Mathematics, 2011
We construct a new type of 𝑞-Euler numbers and polynomials with weak weight 𝛼 : 𝐸(𝛼)𝑛,𝑞, 𝐸(𝛼)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj   +2 more sources

Some New Identities on the Bernoulli and Euler Numbers [PDF]

Discrete Dynamics in Nature and Society, 2011
We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.
Dae San Kim, Taekyun Kim, Sang-Hun Lee, D. V. Dolgy, Seog-Hoon Rim   +4 more
doaj   +2 more sources