Results 21 to 30 of about 1,656 (235)

Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals [PDF]

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   +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

Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers

Axioms, 2022
In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin, Muhammet Cihat Dağli, Feng Qi   +2 more
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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
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On the Symmetric Properties of Higher-Order Twisted q-Euler Numbers and Polynomials [PDF]

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

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

Generalized -Euler Numbers and Polynomials [PDF]

ISRN Applied Mathematics, 2012
We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.
Lee, Hui Young, Jung, Nam Soon, Ryoo, Cheon Seoung   +2 more
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Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials

Integers, 2017
See the abstract in the attached pdf.
Tian-Xiao He, Jinze Zheng
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q-ANALOGUE OF EULER-BARNES' NUMBERS AND POLYNOMIALS [PDF]

Bulletin of the Korean Mathematical Society, 2005
9 ...
Jang, Leechae, Kim, Taekyun
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A Note on Euler Numbers and Polynomials [PDF]

Nagoya Mathematical Journal, 1954
Let Em denote the Euler number in the even suffix notation so that(1.1) where, as usual, after expansion of the left member Er is replaced by Er. Nielsen [4, p. 273] has proved that(1.2)
openaire   +3 more sources