A generalization of kth derivative of Dirac delta in a hypercone

Abstract

In this article, we obtain relations between the distributions and in terms of the operator L _m iterated (r−n/2m) times under the conditions r−1≥n/2m−1, μ=(2s)m and ν=(2l)m; r−1≥n/2m−1, μ=(2s)m+m and ν=(2l)m+m with r non-negative integer, where is defined by equation (59).

Keywords:

• Property of distributions theory

Acknowledgements

This work was partially supported by ‘Comisión de Investigaciones Científicas (C.I.C.)’ (Argentina).