Results 51 to 60 of about 2,081 (228)
Congruences concerning Bernoulli numbers and Bernoulli polynomials
Discrete Applied Mathematics, 2000 Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
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Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
, 2017 This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind.
B. El-Desouky +2 more
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A note on poly-Bernoulli numbers and polynomials of the second kind [PDF]
, 2014 In this paper, we consider the poly-Bernoulli numbers and polynomials of the second kind and presents new and explicit formulas for calculating the poly-Bernoulli numbers of the second kind and the Stirling numbers of the second kind.
Taekyun Kim +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford Analysis
, 2018 The Bernoulli polynomials for natural values of the argument were first considered by J.Bernoulli (1713) in relation to the problem of summation of powers of consecutive natural numbers. L.
S. Chandragiri +3 more
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Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi +5 more
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Hypergeometric degenerate Bernoulli polynomials and numbers
Ars Mathematica Contemporanea, 2020 Summary: Carlitz defined the degenerate Bernoulli polynomials \(\beta_n(\lambda,x)\) by means of the generating function \(t\left((1+\lambda t)^{1\lambda} -1\right)^{-1}(1+\lambda t)^{x/\lambda}\). In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers.
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On modified degenerate Carlitz q-Bernoulli numbers and polynomials
, 2017 In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q-Bernoulli numbers and polynomials.
Jeong Gon Lee, L. Jang
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Wildlife Biology, EarlyView.The ruffed grouse Bonasa umbellus is a species of conservation concern that has declined across most of its range. At the southeastern trailing edge of the range in Georgia, grouse are restricted to elevations 600 m a.s.l. and abundance is relatively low.
Clayton D. Delancey +5 more
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