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 theory of multilinear integral operators in function spaces studies mappings that associate several input functions to an output via integration against a kernel depending on all variables. Such ...

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 ...

Sometimes our code can become difficult to read when using a large number of parentheses. This usually happens when we want to apply multiple functions to the same arguments and we use parentheses to ...

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