Add to ORKGA general Laplace transform and its inverse and their generalizations are considered in this article. This inverse contains the density functions of quadratic expressions in nonsingular as well as singular normal variables and a non-central version of linear functions of gamma variables, among others. Various representations of the inverse in power series, in gamma series, in Laguerre polynomials, in hypergeometric functions and in zonal polynomials are also discussed.quadratic expressions singular normal variables exact distributions of quadratic expressions Laguerre polynomials hypergeometric functions
In the present paper, the author has studied about the structures which are the products and ratios ...
AbstractThe main difficulties in the Laplace’s method of asymptotic expansions of integrals are orig...
• This paper provides an accessible methodology for approximating the distribution of a general line...
AbstractA general Laplace transform and its inverse and their generalizations are considered in this...
An expansion of a certain class of generalized functions is given in a series of Laguerre polynomial...
We derive Laguerre expansions for the density and distribution functions of a sum of positive weight...
Hermitian quadratic and bilinear forms in normal variables and their distributions are considered in...
The Laplace transform is a useful and powerful analytic tool with applications to several areas of a...
AbstractIn this paper, the noncentral matrix quadratic forms of the skew elliptical variables are st...
This paper concentrates on using generalized Laguerre functions to calculate the inverse Laplace tra...
AbstractIn this paper, we introduce new functions as generalizations of the incomplete gamma functio...
AbstractA general distribution which will be called the noncentral generalized Laplacian (NGL) is in...
In this paper the quadratic forms in the skew elliptical variables are studied. A family of the nonc...
We present a Fourier transform representation of the gamma functions, which leads naturally to a dis...
AbstractLet the column vectors of X: p × n be distributed as independent normals with the same covar...
In the present paper, the author has studied about the structures which are the products and ratios ...
AbstractThe main difficulties in the Laplace’s method of asymptotic expansions of integrals are orig...
• This paper provides an accessible methodology for approximating the distribution of a general line...
AbstractA general Laplace transform and its inverse and their generalizations are considered in this...
An expansion of a certain class of generalized functions is given in a series of Laguerre polynomial...
We derive Laguerre expansions for the density and distribution functions of a sum of positive weight...
Hermitian quadratic and bilinear forms in normal variables and their distributions are considered in...
The Laplace transform is a useful and powerful analytic tool with applications to several areas of a...
AbstractIn this paper, the noncentral matrix quadratic forms of the skew elliptical variables are st...
This paper concentrates on using generalized Laguerre functions to calculate the inverse Laplace tra...
AbstractIn this paper, we introduce new functions as generalizations of the incomplete gamma functio...
AbstractA general distribution which will be called the noncentral generalized Laplacian (NGL) is in...
In this paper the quadratic forms in the skew elliptical variables are studied. A family of the nonc...
We present a Fourier transform representation of the gamma functions, which leads naturally to a dis...
AbstractLet the column vectors of X: p × n be distributed as independent normals with the same covar...
In the present paper, the author has studied about the structures which are the products and ratios ...
AbstractThe main difficulties in the Laplace’s method of asymptotic expansions of integrals are orig...
• This paper provides an accessible methodology for approximating the distribution of a general line...