Exponential Transform of Some Special Functions

Nagnath S. Ambarkhane; Sachin P. Hatkar; Kirankumar L. Bondar

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P506

Exponential Transform of Some Special Functions

Nagnath S. Ambarkhane, Sachin P. Hatkar, Kirankumar L. Bondar

Received	Revised	Accepted	Published
14 Apr 2022	30 May 2022	03 Jun 2022	22 Jun 2022

Abstract

In the recent paper the concept of Exponential transform is introduced in [1]. In this paper we have obtained the exponential transform of Error function, Unit step function, Periodic function, Dirac-Delta function, Bessel function and the exponential transform of Leguerre polynomial.

Keywords

Error Function, Unit Step Function, Periodic Function, Dirac-Delta Function, Bessel Function, Leguerre Polynomial.

References

[1] Ambarkhane, N. S., Dhirbasi, H. A., & Bondar, K. L., Exponential Transform and Its Properties. International Journal of Mathematics Trends and Technology, 1 (2019) 84-93.
[2] Ambarkhane Nagnath S., Bondar Kirankumar L., Convolution Theorem and the Exponential Transform of Derivatives and Integrations of the Function f(t). Advances and Applications in Mathematical Sciences, 20(10) (2021) 2435-2445.
[3] Nagnath S. Ambarkhane, on Some Results and Application of the Inverse Exponential Transform. International Journal of Mathematics Trends and Technology, 67(8) (2021) 57-67.
[4] Andrews, L. C., & Shivamoggi, B. K., Integral Transform for Engineers. New Delhi: PHI Learning Private Limited, (2009).
[5] Dass, H. K., Advanced Engineering Mathematics. New Delhi: S Chand and Company Ltd, (1988).
[6] Debnath, L., & Bhatta, D., Integral Transforms and their Applications. Chapman nad Hall/CRC, Taylor and Francis group, (2007).
[7] Goyal, J. K., & Gupta, K. P., Integral Transform. Meerut: Pragati Prakashan, (2010).
[8] Grewal, B. S., & Grewal, J. S., Higher Engineering Mathematics. Delhi: Khanna Publishers, (2003).
[9] Jury, E.I., Theory and Application of the Z-Tramsform, John Wiley & Sons, New York, (1964)
[10] Sneddon, I. N., Fourier Transforms, McGraw-Hill, New York, (1951).
[11] Sneddon, I. N., The Use of Integral Transforms, McGraw-Hill Book Company, New York, (1972).
[12] Tranter, C. J., Integral Transforms in Mathematical Physics, (Third Edition), Methuen and Company Ltd., London, (1966).
[13] Watson, E. J., Laplace Transforms and Applications, Van Nostrand Reinhold, New York, (1981).
[14] Widder, D. V., The Laplace Transform, Princeton University Press, Princeton, New Jersey, (1941).
[15] Winer, N., The Fourier Integral and Certain of Its Applications, Cambridge University Press, Cambridge, (1932).
[16] Zemanian, A. H., Generalized Integral Transformations, John Wiley & Sons, New York, (1969).

Citation :

Nagnath S. Ambarkhane, Sachin P. Hatkar, Kirankumar L. Bondar, "Exponential Transform of Some Special Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 54-59, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P506