On Wright's generalized Bessel kernel

Lun Zhang

In this paper, we consider the Wright's generalized Bessel kernel $K^{(\alpha ,\theta )}(x,y)$ 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…