Results 31 to 40 of about 47,919 (237)
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)
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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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A note on Euler number and polynomials [PDF]
Journal of Inequalities and Applications, 2006 The multiple Euler polynomials of \(p\)-adic arguments are defined via a \(p\)-adic integration procedure proposed by \textit{T. Kim} [J. Number Theory 76, No. 2, 320--329 (1999; Zbl 0941.11048)]. The authors give a formula for a sum of products of Euler polynomials. This answers a question by \textit{I.-C. Huang} and \textit{S.-Y. Huang} [J.
Kim Seoung-Dong +3 more
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Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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Some Properties on the q‐Euler Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2012 We give some new identities on q‐Euler numbers and polynomials by using the fermionic p‐adic integral on ℤp.
Kim, T., Lee, S.-H.
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On the twisted q-Euler numbers and polynomials associated with basic q-l-functions [PDF]
, 2006 One of the purposes of this paper is to construct the twisted q-Euler numbers by using p-adic invariant integral on Zp in the fermionic sense. Moreover, we consider the twisted Euler q-zeta functions and q-l-functions which interpolate the twisted q ...
Taekyun Kim, S. Rim
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On generalized degenerate Euler–Genocchi polynomials
Applied Mathematics in Science and Engineering, 2023 We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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A note on the q-Genocchi numbers and polynomials [PDF]
, 2007 In ths paper we discuss the new concept of the q-extension of Genocchi numbers and give the some relations between q-Genocchi polynomials and q-Euler numbers.Comment: 8 ...
Kim, Taekyun
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A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS [PDF]
Honam Mathematical Journal, 2011 Summary: In this paper, we consider the \(q\)-analogues of Euler numbers and polynomials using the fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\). From these numbers and polynomials, we derive some interesting identities and properties on the \(q\)-analogues of Euler numbers and polynomials.
Choi, Jongsung +2 more
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Stirling Numbers and Spin-Euler Polynomials [PDF]
Experimental Mathematics, 2007 The Fischer decomposition on ℝn gives the decomposition of arbitrary homogeneous polynomials in n variables (x 1, . . . , x n) in terms of harmonic homogeneous polynomials. In classical Clifford analysis a refinement was obtained, giving a decomposition in terms of monogenic polynomials, i.e., homogeneous null solutions for the Dirac operator (a vector-
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