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JOURNALS || ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS) [ISSN: 2455-7064 ]
ANALYZYING OF LEGUERRE POLYNOMIAL BY ABOODH TRANSFORM

Author Names : Dr. Dinesh Verma
Page No. : 14-16  Volume 4 Issue 1
Article Overview

The Aboodh Transform is a mathematical tool used in solving the differential equations. Aboodh Transform makes it easier to solve the problem in engineering application and make differential equations simple to solve. In this paper, we will Analyze Aboodh Transfrm of Leguerre polynomial of nth order and solve differential equations including Leguerre Polynomial via Aboodh Transform.

Key words: Aboodh Transform, Differential Equation.

Reference

[1]  P. Senthil Kumar,  S. Vasuki, Applications of Aboodh Transform to Mechanics, Electrical Circuit Problems, International Journal for Research in Engineering Application & Management (IJREAM), Vol-04, Issue-06, Sep 2018, pp. 367-369.

[2] Mohand M. Abdelrahim Mahgoub, Khalid Suliman Aboodh, Abdelbagy A.Alshikh, On The Solution of Ordinary Differential Equation with Variable Coefficients using Aboodh Transform,  Advances in Theoretical and Applied Mathematics ISSN 0973-4554 Volume 11, Number 4 (2016), pp. 383-389.

[3] Mohamed Elarabi Benattia, Kacem Belghaba, Application Of Aboodh Transform For Solving First Order Constant Coefficients Complex Equation, General Letters in Mathematics Vol. 6, No. 1, Mar 2019, pp.28-34.

[4] Dinesh Verma, Rahul Gupta,  Delta Potential Response of Electric Network Circuits,  iconic research and engineering journals, Volume 3, Issue 8, February 2020, pp. 155-157.

[5] H.K. Dass, Introduction to Engineering Mathematics, S. Chand & Company LTD.

[6] Dinesh Verma, Aftab Alam, Analysis of Simultaneous Differential Equations by Elzaki Transform Approach, Science, Technology and Development Volume IX, Issue I, January 2020, pp. 364-367.

[7] Dr. Dinesh Verma, A Laplace Transformation approach to Simultaneous Linear Differential Equations, New York Science Journal, 12 (7), 2019, pp. 58-61. 

 [8] Rohit Gupta, Rahul Gupta, Dinesh Verma, Eigen Energy Values and Eigen Functions of a Particle in an Infinite Square Well Potential by Laplace Transforms, International Journal of Innovative Technology and Exploring Engineering, Volume-8 Issue-3, January 2019, pp. 6-9.

[9] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator, International Journal of Scientific Research in Physics and Applied Sciences, Vol.7, Issue.3, pp.173-175, June (2019).

[10] Dr. Dinesh Verma, Applications of Laplace Transformation for solving Various Differential Equations with Variable Coefficients, International Journal for Innovative Research in Science & Technology, Volume 4, Issue 11, April 2018, pp. 124-127.

[11] Dinesh Verma, Rohit Gupta, Amit Pal Singh, Analysis of integral Equations of convolution type via Residue Theorem Approach, The International journal of analytical and experimental modal analysis, Volume XII, Issue I, January 2020.Researcher, 10(7), 2018, pp. 1565-1567.

 [12] Dr. Dinesh Verma, An overview of some special functions, international journal of innovative research in technology,  Volume 5, Issue 1, June 2018, pp. 656-659.

[13] Dinesh Verma, Elzaki Transform Approach to Differential Equations with Leguerre Polynomial, International Research Journal of Modernization in Engineering Technology and Science (IRJMETS), Volume-2, Issue-3, March  2020, pp. 244-24.

[14] Dr. Dinesh Verma and Amit Pal Singh, Solving Differential Equations Including Leguerre Polynomial via Laplace Transform, International Journal of Trend in Scientific Research and Development (IJTSRD) ,Volume 4 Issue 2, February 2020, pp. 1016-1019.