Duality of “Some Famous Integral Transforms” From the Polynomial Integral Transform

Priti Chaudhary; Pawan Chanchal; Yogesh khandelwal; Hosiyar sing

doi:https://doi.org/10.14445/22315373/IJMTT-V55P545

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 5 | Year 2018 | Article Id. IJMTT-V55P545 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P545

Duality of “Some Famous Integral Transforms” From the Polynomial Integral Transform

Priti Chaudhary, Pawan Chanchal, Yogesh khandelwal, Hosiyar sing

Citation :

Priti Chaudhary, Pawan Chanchal, Yogesh khandelwal, Hosiyar sing, "Duality of “Some Famous Integral Transforms” From the Polynomial Integral Transform," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 5, pp. 345-349, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P545

Abstract

In this article, we derive multiplicity relation between polynomial integral transform, sumudu, Fourier and mellin integral transforms. We will obtain useful relations of polynomial integral transform and other integral transforms. Fourier integral transform and mellin integral transform can be very difficult to apply in many situations due to its complex nature. The relation between these transforms is more convenient to derive. We will show that polynomial integral transform and Laplace integral transform are equivalent to each other. We can obtain some interesting results in the forms of theorems and these results have been proven. We are taking advantage from the duality relation of mellin and Laplace integral transform for obtaining the results. It will be helpful for solving many problems of science and technology.

Keywords

Natural integral transform, Sumudu integral Transform, Laplace integral Transform, Fourier integral Transform, Mellin integral Transform..

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