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A Relation between Laplace and Generalized Hankel-Clifford Transformation

V.R. Lakshmi Gorty. Published in Applied Mathematics.

Communications on Applied Electronics
Year of Publication: 2015
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: V.R. Lakshmi Gorty
10.5120/cae2015651827

Lakshmi V R Gorty. Article: A Relation between Laplace and Generalized Hankel-Clifford Transformation. Communications on Applied Electronics 2(8):17-19, September 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {V.R. Lakshmi Gorty},
	title = {Article: A Relation between Laplace and Generalized Hankel-Clifford Transformation},
	journal = {Communications on Applied Electronics},
	year = {2015},
	volume = {2},
	number = {8},
	pages = {17-19},
	month = {September},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

A relation between the Laplace transform and the generalized Hankel-Clifford transform is obtained. An attempt has been made to establish the relation between distributional generalized Hankel-Clifford transform and distributional one sided Laplace transform. The results are verified by giving illustrations.

References

  1. Rainville Earl D. 1960. Special Functions, Chesla Publication Co. Bronx, NY.
  2. Kekre, H. B. and Lakshmi Gorty V. R., 2013. Inverse Laplace Transforms for Kekre’s functions and its related Mathematics, The International Journal Research Publications Pte. Ltd., Singapore, Vol. 03, No. 01, 37-44.
  3. Zemanian A.H. 1968. Generalized Integral Transformations, Interscience Publications, NY.
  4. Malgonde S. P. and Lakshmi Gorty V. R. 2013. The generalized Hankel-Clifford transformation on  and its representation, IEEE Xplore Digital Library, http://ieeexplore. ieee.org, 1 – 9.
  5. Panchal S.K. 2012. Relation between Hankel and Laplace transforms of distributions, Bulletin of the Marathwada Mathematical Society Vol. 13, No. 1, Pages 30-32.
  6. Kekre, H. B. and Lakshmi Gorty V. R., 2013. Laplace Transforms to Kekre’s function, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 2, Issue 10, 5240-5252.
  7. Lakshmi Gorty, V. R., 2014. The finite generalized Laplace Hankel-Clifford transformation, communicated to Journal of Advanced Mathematics and Applications.
  8. Sneddon, I. N., 1972. The use of integral transforms, Mc Graw Hill, New York.
  9. Zemanian, A. H., 1968. Generalized integral Transformations, Interscience Pub. New York.
  10. Malgonde S. P. and Lakshmi Gorty V. R.,2008. Orthogonal series expansions of generalized functions and the finite generalized Hankel-Clifford transformation of distributions, Rev. Acad. Canaria, Cienc.., XX (Nums.1-2), 49-61.

Keywords

Generalized Hankel-Clifford transforms, Laplace Transform, Generalized Function, Testing Function, inversion theorem.