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Tbilisi Mathematical Journal

Editor-in-Chief: Inassaridze, Hvedri

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

V. R. Lakshmi Gorty
  • Corresponding author
  • SVKM's NMIMS University, MPSTME, Vile Parle (W), Mumbai, Maharashtra 400056, India
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2015-02-23 | DOI: https://doi.org/10.1515/tmj-2015-0004


In this study a relation between the Laplace transform and the generalized Hankel-Clifford transform is established. The relation between distributional generalized Hankel-Clifford trans- form 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 frac- tional Laplace and fractional generalized Hankel-Clifford transformation is proved in Zemanian space.

Keywords: Generalized Hankel-Clifford transforms; Laplace Transforms; generalized Hankel-Clifford inversion theorem; test- ing function space for generalized Hankel-Clifford transform and Laplace transforms; fractional Laplace transforms and fractional generalized Hankel-Clifford transformation.


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About the article

Published Online: 2015-02-23

Citation Information: Tbilisi Mathematical Journal, Volume 8, Issue 2, ISSN (Online) 1512-0139, DOI: https://doi.org/10.1515/tmj-2015-0004.

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© 2015 V. R. Lakshmi Gorty. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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