Results 41 to 50 of about 47,919 (237)
New Approach to q-Euler Numbers and Polynomials
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
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, 2016 The purpose of this paper is to construct some new non-linear differential equations and investigate the solutions of these non-linear differential equations.
Taekyun Kim, Dae San Kim
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On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q=−1
, 2007 The purpose of this paper is to construct λ-Euler numbers and polynomials by using fermionic expression of p-adic q-integral at q = − 1 . From these λ-Euler polynomials, we derive the harmonic sums of higher order.
Taekyun Kim
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Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on
International Journal of Mathematics and Mathematical Sciences, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
H. Y. Lee +3 more
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Symmetry, 2018 We study a q-analogue of Euler numbers and polynomials naturally arising from the p-adic fermionic integrals on Zp and investigate some properties for these numbers and polynomials.
L. Jang +3 more
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Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
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
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A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
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Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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Hermite Polynomials and their Applications Associated withBernoulli and Euler Numbers [PDF]
Discrete Dynamics in Nature and Society, 2012 We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. LetPn= {p(x) ∈ℚ[x]∣deg p(x) ≤n} be the (n+ 1)‐dimensional vector space overℚ. Then we show that {H0(x),H1(x), …,Hn(x)} is a good basis for the spacePnfor our purpose of arithmetical and combinatorial ...
Dae San Kim +3 more
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Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
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