The purpose of the present paper is to derive the necessary and sufficient condition for the generalized Bessel function (struve function) belonging to the classes Ωλ(g;α, β) and Υ ∗ λ(g;α, β).

in this paper‎, ‎using a generalized dunkl translation operator‎, ‎we obtain a generalization of titchmarsh's theorem for the dunkl transform for functions satisfying the$(psi,p)$-lipschitz dunkl condition in the space $mathrm{l}_{p,alpha}=mathrm{l}^{p}(mathbb{r},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.

This paper extends the Meijer transformation, M, given by I /2K 2p f(t) (pt) (2 p)dt, (Mf) (p) (i+) 0 where f belongs to an appropriate function space, e (-1,) and K is the modified Bessel function of third kind of order , to certain generalized functions. A testing space is constructed so as to contain the (pt)/2K(2p), of the transformation. Some properties of the kernel, function space and it...

In this article, we studied the necessary conditions for univalence of integral operators that involve two functions: generalized Bessel function and a from well-known class normalized analytic functions in open unit disk. The main tools our discussions were Kudriasov univalency functions, as well functional inequalities functions. We included Bessel, modified spherical special cases. Furthermo...

Yor’s generalized meander is a temporally inhomogeneous modification of the 2(ν+1)-dimensional Bessel process with ν > −1, in which the inhomogeneity is indexed by κ ∈ [0, 2(ν + 1)). We introduce the non-colliding particle systems of the generalized meanders and prove that they are the Pfaffian processes, in the sense that any multitime correlation function is given by a Pfaffian. In the infini...