Exponential Transform of Some Special Functions
![]() |
International Journal of Mathematics Trends and Technology (IJMTT) | ![]() |
© 2022 by IJMTT Journal | ||
Volume-68 Issue-6 | ||
Year of Publication : 2022 | ||
Authors : Nagnath S. Ambarkhane, Sachin P. Hatkar, Kirankumar L. Bondar |
||
![]() |
How to Cite?
Nagnath S. Ambarkhane, Sachin P. Hatkar, Kirankumar L. Bondar, " Exponential Transform of Some Special Functions ," International Journal of Mathematics Trends and Technology, vol. 68, no. 6, pp. 54-59, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P506
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.
Reference
[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).