Integral transforms concerning generalized multiindex Bessel Maitland function

Beta Type Integral Formula Associated with Wright Generalized Bessel Function

Abstract. The object of the present paper is to establish an integral formula involving Wright generalized Bessel function (or generalized Bessel-Maitland function) J ν,q (z) defined by Singh et al. [21], which is expressed in the terms of generalized (Wright) hypergeometric functions. Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Le...

SOME INTEGRAL TRANSFORMS OF THE GENERALIZED k-MITTAG-LEFFLER FUNCTION

In the paper, the authors generalize the notion “k-Mittag-Leffler function”, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function. 1. Preliminaries Throughout this paper, let C, R, R0 , R, Z − 0 , and N denote respectively the sets of com...

Generalized Bessel function of Type D ?

We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.

A Class of Polynomials Associated with Differential Operator and with a Generalization of Bessel-Maitland Function

The object of this paper is to present several classes of linear and bilateral generating relations by employing operational techniques, which reduces as a special case of (known or new) bilateral generating relations.At last some of generating functions associated with stirling number of second kind are also discussed. Mathematics Subject Classification(2010): Primary 42C05, Secondary 33C45.

Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type