Distributional Finite-Generalized-Laplace-Hankel-Clifford-Transformation
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Abstract
The distributional finite-generalized-Laplace-Hankel-Clifford transforms is defined and inversion theorem is established in distributional sense. Operational transform formula is obtained for developed finite-generalized-Laplace-Hankel-Clifford transformation. These are applied to solve certain partial differential equations with distributional boundary conditions.
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References
Bhonsle B R and Prabhu R A, An inversion formula for a distributional finite-Hankel-Laplace transformation, Pacific J. Math. (1979), Vol. 80, Number 2, 313-324.
Dorta Diaz J A and Mendez-Perez J M R. , Dinis series expansions and the Finite Hankel-Clifford transformations, Jour. Inst. Math. and Comp. Sci., (Math. Ser.), Vol. 5 (1992), No. 1, 1-17.
Gray A and Mathews G B, A treatise on Bessel functions and their applications to physics, Dover Publications (1922), Inc., New York.
Lakshmi Gorty V R, Finite-Generalized-Laplace-Hankel-Clifford-Transformation, Recent and Innovation Trends in Computing and Communication, (2016), Vol. 4 Issue 4; pp: 82 89.
Malgonde S P, Generalized Hankel-Clifford transformation of certain spaces of distributions, Rev. Acad. Canaria. Cienc. , XII (2000), (Nums.1-2) 51-73.
Malgonde S P and Bandewar S R, On a generalized Hankel-Cliord transformation of arbitrary order, Proc. Indian Acad. Sci. (Math. Sci.), (2000), vol. 110 No.3, 293-304.
Malgonde S P and Lakshmi Gorty V R, Orthogonal series expansions of generalized functions and the nite generalized Hankel-Clifford transformation of distributions, Rev. Acad. Canaria. Cienc.., (2008), XX (Nums.1-2) pp. 49-61.
Sneddon I N, The use of integral transforms, Tata McGraw-Hill,(1979), New Delhi.
Watson G N, A treatise on the theory of Bessel functions, Cambridge Univ.Press, (1958) London.
Malgonde S P and Lakshmi Gorty V R, On the distributional finite generalized Hankel-Clifford transformation, Jour. Of Sci. Tech Engg. Manag.,
Techno-Path, (2010), Vol. 2, issue 2, pp 39-47.
Zemanian A H, Generalized integral transformations, Interscience Publishers, (1968), New York (Republished by Dover, N.Y., 1987).