Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques

Federico Pagano 9 PAGES (1418 WORDS) Essay/Paper
Subscribe to access this work and thousands more

The problem of integration technique over integrands of the form f(t)/t^n, can be solved by differentiation(n times)  by using Leibniz's rule to get rid of t^n, that leads to integrate back (n times) to end the game which it's harder than the original problem.This work focuses on the derivation of the formula (Pagano's Theorem) which is a perfect tool to avoid that hard task. It allows to change the difficult n iterated integrals  into a more outstanding easier problem which consists of n -1 derivatives.The Pagano's Theorem is a generalization of the Dirichlet integral with a strong conection with Cauchy's residue theorem.


Subscribe to access this work and thousands more
Overall Rating

0

5 Star
(0)
4 Star
(0)
3 Star
(0)
2 Star
(0)
1 Star
(0)
APA

Federico, P (2020). Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques. Afribary.com: Retrieved September 18, 2020, from https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques

MLA 8th

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques" Afribary.com. Afribary.com, 30 Aug. 2020, https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques . Accessed 18 Sep. 2020.

MLA7

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques". Afribary.com, Afribary.com, 30 Aug. 2020. Web. 18 Sep. 2020. < https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques >.

Chicago

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques" Afribary.com (2020). Accessed September 18, 2020. https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques