Results 131 to 140 of about 173,713 (336)
A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve [PDF]
, 2016 Alexander Iksanov +2 more
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Asymptotics of Bernoulli random walks, bridges, excursions and meanders with a given number of peaks [PDF]
, 2006 Jean-Maxime Labarbe +1 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
wiley +1 more source
On Carlitz's q-Bernoulli numbers
Journal of Number Theory, 1982 Bernoulli numbers and polynomials can be used to define \(p\)-adic analogues of the classical zeta function and \(L\)-functions (as an integral of a simple function with respect to a measure that is a regularization of a Bernoulli distribution, see [the author, \(p\)-adic numbers, \(p\)-adic analysis, and zeta-functions.
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Weighted number operators on Bernoulli functionals and quantum exclusion semigroups [PDF]
, 2019 Caishi Wang, Yuling Tang, Suling Ren
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Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function
, 2006 Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core
The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked
Applied Mathematics, 2019 Utilizing translation operators we get the powers sums on arithmetic progressions and the Bernoulli polynomials of order munder the form of differential operators acting on monomials. It follows that (d/dn-d/dz) applied on a power sum has a meaning and is exactly equal to the Bernoulli polynomial of the same order.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source