Results 11 to 20 of about 781 (209)
On the ๐-Euler Numbers and Polynomials with Weight 0 [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to investigate some properties of ๐-Euler numbers and polynomials with weight 0. From those ๐-Euler numbers with weight 0, we derive some identities on the ๐-Euler numbers and polynomials with weight 0.
T. Kim, J. Choi
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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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Explicit Formulas Involving -Euler Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2012 We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator.
Serkan Araci +2 more
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On Euler numbers, polynomials and related p-adic integrals
Journal of Number Theory, 2009 In this note we give a new proof of Witt's formula for Euler numbers, which are related to some known or new identities involving the Euler numbers. We also obtain a brief proof of a classical result on Euler numbers modulo of two due to M.A. Stern using
Kim, Min-Soo
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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 โscatteringโ of the zeros of the the generalized Euler polynomials in complex plane.
Lee, Hui Young +2 more
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On generalized Lucas polynomials and Euler numbers [PDF]
Miskolc Mathematical Notes, 2010 In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
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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)
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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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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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