Results 151 to 160 of about 7,881 (187)
A Kinetostatic Model for Concentric Push-Pull Robots. [PDF]
IEEE Trans RobotChilds JA, Rucker C.
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Approach Towards the Development of Digital Twin for Structural Health Monitoring of Civil Infrastructure: A Comprehensive Review. [PDF]
Sensors (Basel)Sun Z +5 more
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Reciprocal relations of Bernoulli and Euler numbers/polynomials
Integral Transforms and Special Functions, 2018 ABSTRACTBy means of the symmetric summation theorem on polynomial differences due to Chu and Magli [Summation formulae on reciprocal sequences. European J Combin. 2007;28(3):921–930], we examine Bernoulli and Euler polynomials of higher order. Several reciprocal relations on Bernoulli and Euler numbers and polynomials are established, including some ...
Xiaoyuan Wang, Wenchang Chu
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Identities related to the Bernoulli and the Euler numbers and polynomials
AIP Conference Proceedings, 2020 The main motivation of this paper is to investigate some properties of the generating functions for the numbers Yn(λ) and the polynomials Yn(x; λ), which were recently introduced by Simsek [9] and so we give some identities and relations including the numbers Yn(λ) and the polynomials Yn(x; λ), the Bernoulli numbers and polynomials, the Apostol ...
Busra Al, Mustafa Alkan
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Explicit formulas for the Bernoulli and Euler polynomials and numbers
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1991 In this paper the main result (Theorem 2) gives the following formula for the Bernoulli polynomials \(B_ n(x)\) \[ (te^{tx}/(e^ t-1)=\sum^ \infty_{n=0}B_ n(x)t^ n/n!,\quad | t|
Pavel G. Todorov
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CLOSE LINKS OF BERNOULLI AND EULER NUMBERS AND POLYNOMIALS WITH SYMMETRIC FUNCTIONS
Rocky Mountain Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meryem Bouzeraib +3 more
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Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals
Numerical Functional Analysis and Optimization, 2009 The nth order derivatives of tan x and sec x may be represented by polynomials P n (u) and Q n (u) in u = tan x, which are known as the derivative polynomials for the tangent and secant and have occurred in diverse contexts. In this paper, explicit representations of P n (u) and Q n (u) are derived in terms of the central factorial numbers of the ...
Ching-Hua Chang, Chung-Wei Ha
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Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function
, 2003 Certain q-Fourier expansions found in the previous chapter give us a possibility to introduce analogs of the Bernoulli polynomials and numbers, the Euler polynomials and numbers, and the Riemann zeta function [146]. We shall study some of their properties that are close to the classical ones.
Sergeĭ K. Suslov
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Some explicit formulas for the Bernoulli and Euler numbers and polynomials
International Journal of Mathematical Education in Science and Technology, 1988 A systematic investigation of various explicit representations for the Bernoulli and Euler numbers and polynomials is presented, and some interesting generalizations of these results are proved.
H. M. Srivastava
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