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math-ph2016★ 16 cited
On Wright's generalized Bessel kernel
Lun Zhang
In this paper, we consider the Wright's generalized Bessel kernel defined by $$θx^α\int_0^1J_{\frac{α+1}θ,\frac{1}θ}(ux)J_{α+1,θ}((uy)^θ)u^α\,\mathrm{d} u, \qquad…
math.CA2016
Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices
Lun Zhang
We consider mixed type multiple orthogonal polynomials associated with a system of weight functions consisting of two vectors. One vector is defined in terms of scaled modified Bes…