Tbilisi Mathematical Journal

A perspective on fractional Laplace transforms and fractional generalized Hankel-Clifford transformation

V. R. Lakshmi Gorty

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Abstract

In this study a relation between the Laplace transform and the generalized Hankel-Clifford transform is established. The relation between distributional generalized Hankel-Clifford transform and distributional one sided Laplace transform is developed. The results are verified by giving illustrations. The relation between fractional Laplace and fractional generalized Hankel-Clifford transformation is also established. Further inversion theorem considering fractional Laplace and fractional generalized Hankel-Clifford transformation is proved in Zemanian space.

Article information

Source
Tbilisi Math. J., Volume 8, Issue 2 (2015), 23-33.

Dates
Received: 7 August 2014
Accepted: 22 September 2014
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528769003

Digital Object Identifier
doi:10.1515/tmj-2015-0004

Mathematical Reviews number (MathSciNet)
MR3323917

Zentralblatt MATH identifier
1309.26009

Subjects
Primary: 26A3
Secondary: 44A10: Laplace transform 44A20: Transforms of special functions 46F12: Integral transforms in distribution spaces [See also 42-XX, 44-XX]

Keywords
Generalized Hankel-Clifford transforms Laplace Transforms generalized Hankel-Clifford inversion theorem testing function space for generalized Hankel-Clifford transform and Laplace transforms fractional Laplace transforms and fractional generalized Hankel-Clifford transformation

Citation

Gorty, V. R. Lakshmi. A perspective on fractional Laplace transforms and fractional generalized Hankel-Clifford transformation. Tbilisi Math. J. 8 (2015), no. 2, 23--33. doi:10.1515/tmj-2015-0004. https://projecteuclid.org/euclid.tbilisi/1528769003


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References

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