A distributional Hardy transformation-Reference-Cited by-同舟云学术

A distributional Hardy transformation

Published:1974-07 Issue:1 Volume:76 Page:247-262
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Pathak R. S.,Pandey J. N.

Abstract

In this paper the classical Hardy transformation (5) has been extended to distributions. The celebrated Hankel transformation, Y-transformation and H-transformation are particular cases of the Hardy transformation. The Hankel transformation has been extended to distributions by Zemanian(12). The distributional theory has been explored by Zemanian(13), Koh and Zemanian(6), and Dubey and Pandey(2). The famous Y- and its reciprocal H-transformations have not been extended to distributions. The inversion and some of the properties of these distributional transformations can be deduced as particular cases of the results contained in this paper.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Formulas and Theorems for the Special Functions of Mathematical Physics

2. The inversion formulae of Hardy and Titchmarsh;Cooke;Proc. London. Math. Soc.,1925

3. The Complex Hankel andI-Transformations of Generalized Functions

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