sigma08-093. 240KB Jun 04 2011 12:10:21 AM
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However the important basis consisting of nonsymmetric Jack polynomials is defined for N variables and does not behave well under restriction to the orthogonal complement of (1 , 1
We prove that one characterization for the classical orthogonal polynomials sequences (Hermite, Laguerre, Jacobi and Bessel) cannot be extended to the semi-classical ones..
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
In [10], the Laguerre and Hermite matrix polynomials are introduced as examples of right orthogonal ma- trix polynomial sequences for appropriate right matrix moment functionals
Polynomials (2.1) satisfy the following very useful identity originally formulated for so called contin- uous q − Hermite polynomials h n (can be found in e.g.. First assertions
We also prove, under the same assumptions regarding the worldvolume at fixed time, that classical Nambu brackets on the worldvolume are quantised by the multibrackets corresponding
We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process.. The first approach
As a direct corollary of our results, a Dunkl harmonic function bounded below or above is actually constant, which extends the corresponding result of Gallardo and Godefroy for
