منابع مشابه
Diffraction-Free Bessel Beams at mm- and Submm-Wavebands
Bessel beams are a family of diffraction-free beams. They have many unique properties and prospective applications. Much attention has been focused to this subject in optics. Recently, the studies of such beams at mmand submmwavebands have been carried out in our group. The investigation results, including their theories, generation, propagation and potential applications, are presented in this...
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This paper explores various distributional aspects of random variables defined as the ratio of two independent positive random variables where one variable has an α stable law, for 0 < α < 1, and the other variable has the law defined by polynomially tilting the density of an α stable random variable by a factor θ > −α. When θ = 0, these variables equate with the ratio investigated by Lamperti ...
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The two-dimensional free boundary problem for incompressible irrotational water waves without surface tension is proved to have exactly eight nontrivial conservation laws. Included is a discussion of what constitutes a conservation law for a general free boundary problem, and a characterization of conservation laws for two-dimensional free boundary problems involving a harmonic potential proved...
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A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...
متن کاملLimits Laws for Geometric Means of Free Positive Random Variables
Let {ak}k=1 be free identically distributed positive non–commuting random variables with probability measure distribution μ. In this paper we proved a multiplicative version of the Free Central Limit Theorem. More precisely, let bn = a 1/2 1 a 1/2 2 . . . an . . . a 1/2 2 a 1/2 1 then bn is a positive operator with the same moments as xn = a1a2 . . . an and b 1/2n n converges in distribution to...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2011
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2010-060-6