Results 11 to 20 of about 12,867 (291)
On the 𝑞-Euler Numbers and Polynomials with Weight 0
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
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Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on [PDF]
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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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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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
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On \((i,q)\) Bernoulli and Euler numbers
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Cenkci +3 more
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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
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On a conjecture of the Euler numbers
Journal of Number Theory, 2007 AbstractThe main purpose of this paper is to prove a conjecture of the Euler numbers and its generalization by using the analytic methods. That is, for any prime p≡1(mod4) and integer α⩾1 we proved Eϕ(pα)/2≢0(modpα), where E2n are the Euler numbers and ϕ(n) the Euler function.
Zhang, Wenpeng, Xu, Zhefeng
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Arithmetic Identities Involving Bernoulli and Euler Numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 The purpose of this paper is to give some arithmatic identities for the Bernoulli and Euler numbers. These identities are derived from the several p-adic integral equations on ℤp.
H.-M. Kim, D. S. Kim
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Some Identities on Bernoulli and Euler Numbers [PDF]
Discrete Dynamics in Nature and Society, 2012 Recently, Kim introduced the fermionic p-adic integral on Zp. By using the equations of the fermionic and bosonic p-adic integral on Zp, we give some interesting identities on Bernoulli and Euler numbers.
D. S. Kim, T. Kim, J. Choi, Y. H. Kim
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Euler Numbers and Polynomials Associated with Zeta Functions [PDF]
Abstract and Applied Analysis, 2008 For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta ...
Taekyun Kim
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