Integration of a Generalized Ratio of Polynomials

Author:

Brandsema Matthew J.ORCID,Brocker Donovan E.

Abstract

This paper provides a closed-form solution to the indefinite integral of a ratio of generalized polynomials where the denominator polynomial is raised to the general order r∈Z+. Such an integral arises in physics and engineering, the solution of which allows for closed-form analysis.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference8 articles.

1. Design of Singlets with Continuously Varying Indices of Refraction

2. Radial gradient-index lenses with zero Petzval aberration

3. Handbook of Mathematical Formulas;Bartsch,1974

4. Mathematical Formulas for Industrial and Mechanical Engineering;Kadry,2014

5. On the solution of integral equations with strongly singular kernels

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