Function operators are closely related to function factories; indeed they're just a function factory that takes a function as input. Like factories, there's nothing you can't do without them, but they ...

Hausdorff operators form a class of linear integral transforms characterised by a kernel function and a dilation parameter that together encode scaling and averaging effects on input functions.

The analysis of function spaces forms the backbone of modern mathematical analysis, offering a structured way to measure size, smoothness and oscillation in diverse contexts. Classical spaces such as ...

In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F 3 (·) are applied, and several new image formulas of generalized Lommel–Wright ...

University Paris 13, Paris Sorbonne Cité, LIPN, CNRS, Villetaneuse, France. is a formal power series of the variable t. We recall that any formal power series of the form for . Finally, it is possible ...

Copyright © 2013 Laurent Poinsot. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use ...