The Journal of the Indian Mathematical Society

H. C. Gupta ¹

Affiliations
1 Christ Church College, Cawnpore, IN

Abstract

In this paper is given a theorem involving operational relations whose originals are self-reciprocal in the Hankel transform of order.

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H. C. Gupta ¹

Affiliations
1 Christ Church College, Cawnpore, IN

Abstract

The object of this note is to give two theorems which enable us to derive by processes of differentiation and integration new self-reciprocal functions from known ones. We shall call a function R_v if it is self-reciprocal for F_v transforms.

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H. C. Gupta ¹

Affiliations
1 Christ Church College, Cawnpore, IN

Abstract

The object of this paper is to use operational calculus in the investigation of pairs of Hankel transforms. Two theorems have been established for the derivation of such a pair from functions whose operational images are known to be mutually related in a certain manner. Of the several pairs of Hankel transforms obtained by means of these theorems, results I to II are believed to be new.

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