Multiple Mellin Convolution and I-function Transformation involving r variables

MULTIPLE MELLIN AND LAPLACE TRANSFORMS OF I-FUNCTIONS OF r VARIABLES

The aim of this paper is to study multiple Mellin and Laplace transforms involving multivariable I-function. In this regard, we have proved five theorems, and a few corollaries have also been recorded. Similar results for the H-function of two and r variables obtained by other authors follow as special case of our findings.

On Mellin Transform Involving the Product of a General Class of Polynomials, Struve’s Function and H-Function of Two Variables

The object of this paper is to establish integrals involving the product of struve’s function, general class of polynomials and H-function of two variables. Some special cases have also derived.

Subordination and Super Ordination Results Involving Certain Convolution Operators

Nonparametric Function Estimation Involving Errors-in-variables

We examine the effect of errors in covariates in rionparametric function estimation. These functions include densities, regressions and conditional quantiles. To estimate these functions, we use the idea of deconvoluting kernels in conjunction with the ordinary kernel methods. We also discuss a new class of function estimators based on local polynomials. oAbbreviated title. Error-in-variable re...

The convolution of associated homogeneous distributions on R – Part I

This is the first in a series of two papers in which we construct a convolution product for associated homogeneous distributions (AHDs) with support in R. In this paper, we show that if f and g are AHDs with degrees of homogeneity a−1 and b−1, the convolution fa∗gb exists as an AHD, provided the resulting degree of homogeneity a + b − 1 is not a natural number. Under this restriction, it is fou...