Some Relations between Stieltjes Transform and Hankel Transform with Applications-Reference-Cited by-同舟云学术

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Some Relations between Stieltjes Transform and Hankel Transform with Applications

Published:2023-03-31 Issue:1 Volume:6 Page:60-66
ISSN:2651-4001
Container-title:Communications in Advanced Mathematical Sciences
language:
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Author:

KUMAR Virendra¹^ORCID

Affiliation:

1. Formerly Scientist-B, Defence Research and Development Organisation, India

Abstract

In the present paper four theorems connecting Stieltjes transform and Hankel transform are established. The theorems are general in nature. Four integral formulae involving special functions are obtained with the help of these theorems. Otherwise it is very difficult to evaluate such type of integrals. Other several integrals may be evaluated with the help of these theorems.

Funder

There is no supporting institution

Publisher

Communications in Advanced Mathematical Sciences

Subject

General Medicine

Reference21 articles.

1. [1] B. R. Bhonsle, A relation between Laplace and Hankel transforms, Proc. Glasgow Math. Assoc., 5(3) (1962), 114-115.

2. [2] B. R. Bhonsle, A relation between Laplace and Hankel transforms, Math. Japon., 10 (1965), 84-89.

3. [3] A. Erde ́lyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Higher Transcendental Functions, vol. II, McGraw-Hill Book Company, New York, 1953.

4. [4] A. Erde ́lyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Tables of Integral Transforms, vol. II, McGraw-Hill Book Company, New York, 1954.

5. [5] K. C. Sharma, Theorems relating Hankel and Meijer’s Bessel transforms, Proc. Glasgow Math. Assoc., 6 (1963), 107–112.

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