Results 21 to 30 of about 203,104 (277)
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 +2 more
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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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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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On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions
, 2006 One purpose of this paper is to construct twisted q-Euler numbers by using p-adic invariant integral on Zp in the sense of fermionic. Finally, we consider twisted Euler q-zeta function and q-l-series which interpolate twisted q-Euler numbers and ...
Carlitz +21 more
core +1 more source
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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Super congruences and Euler numbers
, 2010 Let $p>3$ be a prime. We prove that $$\sum_{k=0}^{p-1}\binom{2k}{k}/2^k=(-1)^{(p-1)/2}-p^2E_{p-3} (mod p^3),$$ $$\sum_{k=1}^{(p-1)/2}\binom{2k}{k}/k=(-1)^{(p+1)/2}8/3*pE_{p-3} (mod p^2),$$ $$\sum_{k=0}^{(p-1)/2}\binom{2k}{k}^2/16^k=(-1)^{(p-1)/2}+p^2E_{p-
A. Ahlgren +47 more
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Generalizations of Euler numbers and polynomials
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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A note on q-Euler numbers and polynomials
, 2006 The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.Comment: 6 ...
A. S. Hegazi +20 more
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Euler and the Strong Law of Small Numbers [PDF]
The American Mathematical Monthly, 2016 We identify and correct an erroneous formula for Euler numbers that appears in Hansen's Table of Series and Products. We also provide details about the history of this error.
Dilcher, Karl, Vignat, Christophe
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Advanced Engineering Materials, EarlyView.Trace additions of Sn and Sr combined with a two‐step aging treatment are shown to enhance the microstructure and performance of Al–Zr–Sc conductor alloys. Strength and electrical conductivity increase concurrently through accelerated precipitation of fine Al3(Sc, Zr) precipitates and improved dislocation resistance, offering a cost‐effective pathway ...
Quan Shao +3 more
wiley +1 more source