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JOURNALS || ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR) [ISSN: 2455-3794]
RELATION BETWEEN EULERIAN INTEGRAL OF THE FIRST KIND AND EULER’S INTEGRAL OF SECOND KIND BY ELZAKI TRANSFORM

Author Names : Dr. Dinesh Verma
Page No. : 25-27
Read Hit : 850
Pdf Downloads Hit : 5  Volume 5 Issue 1
Article Overview

ARTICLE DESCRIPTION: 

Affiliation:

Professor Department of Mathematics, NIILM University, Kaithal (Haryana), India

ARTICLE TYPE: RESEARCH

doi no.: 10.2016-56941953; DOI Link :: http://doi-ds.org/doilink/11.2020-33419697/


ABSTRACT:

In this paper we will find the relation between Eulerian integral of the first kind and Euler’s integral of second kind. Euler integral of the first kind is used to determine average time of completing selected tasks in time management, and Euler’s integral of second kind is one of the most widely used special functions encountered in advanced mathematics. The purpose of paper is to prove the relation between Euler integral of the first kind and Euler’s integral of second kind.

Keywords: Elzaki Transform, Laplace transforms, Beta function, gamma function.

Reference

[1] Dinesh Verma , Elzaki –Laplace Transform of some significant Functions, Academia Arena, Volume-12, Issue-4, April  2020.

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

[3] Dinesh Verma, Aftab Alam, Analysis of Simultaneous    Differential Equations By Elzaki Transform Approach, Science, Technology And Development Volume Ix Issue I January 2020.

[4] Sunil Shrivastava, Introduction of Laplace Transform and Elzaki Transform with Application (Electrical Circuits),International Research Journal of Engineering and Technology (IRJET) ,volume 05 Issue 02 , Feb-2018. 

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[6] Dinesh Verma and Rahul Gupta ,Delta Potential Response of Electric Network Circuit, Iconic Research and Engineering Journal (IRE) Volume-3, Issue-8, February  2020.

[7] B.V.Ramana, Higher Engineering Mathematics.

[8] Erwin Kreyszig, Advanced Engineering Mathematics, Wiley, 1998.

[9] Dr. Dinesh Verma, Relation between Beta and Gamma function by using Laplace transformation, Researcher, 10(7), 2018.

[10] Dinesh  Verma, Elzaki Transform of some significant Infinite Power Series, International Journal of  Advance Research and Innovative Ideas  in Education (IJARIIE)” Volume-6, Issue-1, February  2020.

[11]    Dinesh Verma and Amit Pal Singh, Applications     of   Inverse Laplace Transformations, Compliance Engineering Journal, Volume-10, Issue-12, December 2019.

[12] Dinesh Verma, A Laplace Transformation approach to Simultaneous Linear Differential Equations, New York Science Journal, Volume-12, Issue-7, July 2019.

[13] Dinesh Verma, Signification of Hyperbolic    Functions and Relations, International Journal of Scientific Research & Development (IJSRD), Volume-07, Issue-5, 2019.

[14] Dinesh Verma and Rahul Gupta, Delta Potential Response of Electric Network Circuit, Iconic Research and Engineering Journal (IRE)” Volume-3, Issue-8, February 2020.

[15] 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.

[16] Dinesh Verma and Amit Pal Singh, Importance of Power Series by Dinesh Verma Transform (DVT),  ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR) Volume -5, Issue-1, 2020, PP:08-13.

[17] Dinesh Verma “Analytical Solutuion of Differential Equations by Dinesh Verma Tranforms (DVT),  ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), Volume -4, Issue-1, 2020, PP:24-27.

 [18] Dinesh Verma, A Useful technique for solving the differential equation with boundary values,Academia Arena” Volume-11, Issue-2, 2019.

[19] Dinesh Verma , Relation between Beta and Gamma function by using Laplace Transformation, Researcher Volume-10, Issue-7, 2018.

[20] Dinesh Verma , An overview of some special functions, International Journal of Innovative Research in Technology (IJIRT), Volume-5, Issue-1, June 2018.

[21] Dinesh Verma, Applications of Convolution Theorem, International Journal of Trend in Scientific Research and Development (IJTSRD)” Volume-2, Issue-4, May-June 2018.

[22] Dinesh Verma , Solving Fourier Integral Problem by Using Laplace Transformation ,International Journal of Innovative Research in Technology (IJIRT), Volume-4, Issue-11, April 2018.

[23] Dinesh Verma  ,Applications of Laplace Transformation for solving Various Differential equations with variable co-efficient, International Journal for Innovative Research in Science and Technology (IJIRST), Volume-4, Issue-11, April 2018.

[24] Dinesh Verma, Amit Pal Singh and Sanjay Kumar Verma, Scrutinize of Growth and Decay Problems by Dinesh Verma Tranform (DVT), Iconic Research and Engineering Journals (IRE Journals), Volume-3, Issue-12, June  2020; pp: 148-153.

 [25] Dinesh Verma and Sanjay Kumar Verma, Response of Leguerre Polynomial via Dinesh Verma Tranform (DVT), EPRA International  Journal of Multidisciplinary Research (IJMR), Volume-6, Issue-6, June  2020, pp: 154-157.

 [26] Dinesh Verma, Empirical Study of Higher Order Diffeential Equations with Variable Coefficient by Dinesh Verma Transformation (DVT ), ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR), Volume -5, Issue-1, 2020,  pp:04-07.