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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P509

On Some Results and Application of the Inverse Exponential Transform


Nagnath S. Ambarkhan
Abstract

In this paper I have introduced the concept of the inverse exponential transform, the inverse exponential transform of some basic functions and some basic properties like linearity, shifting, convolution theorem and some important results with application to initial value problem are discussed.

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References

[1] Ambarkhane, N. S., Dhirbasi, H. A., & Bondar, K. L. (2019). Exponential Transform and Its Properties. International Journal of Mathematics Trends and Technology, Vol. 65 I9, pp. 84-93.
[2] Ambarkhane, Nagnath S., Bondar Kirankumar L., (2021) Convolution Theorem And The Exponential Transform of Derivatives And Integrations of The Function f(t). Advances and Applications in Mathematical Sciences, Volume 20, Issue 8, June 2021, pp. 1537-1547
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[8] Jury, E.I, (1964). Theory and Application of the Z-Transform, John Wiley & Sons, New York.
[9] Sneddon, I. N., (1951). Fourier Transforms, McGraw-Hill, New York.
[10] Sneddon, I. N., (1972). The Use of Integral Transforms, McGraw-Hill Book Company, New York.
[11] Tranter, C. J., (1966). Integral Transforms in Mathematical Physics, (Third Edition), Methuen and Company Ltd., London.
[12] Watson, E. J., (1981). Laplace Transforms and Applications, Van Nostrand Reinhold, New York.
[13] Widder, D. V., (1941). The Laplace Transform, Princeton University Press, Princeton, New Jersey.
[14] Winer, N., (1932). The Fourier Integral and Certain of Its Applications, Cambridge University Press, Cambridge.
[15] Zemanian, A. H., (1969). Generalized Integral Transformations, John Wiley & Sons, New York.

Citation :

Nagnath S. Ambarkhan, "On Some Results and Application of the Inverse Exponential Transform," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 71-81, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P509

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