Integration of a generalized ratio of polynomials

Matthew J. Brandsema; Donovan E. Brocker

doi:10.3390/math9202579

Integration of a generalized ratio of polynomials

Matthew J. Brandsema, Donovan E. Brocker

Applied Research Laboratory (ARL)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	2579
Journal	Mathematics
Volume	9
Issue number	20
DOIs	https://doi.org/10.3390/math9202579
State	Published - Oct 2 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.3390/math9202579

Cite this

@article{658d0bb63d4d43c99cbb555650d8a917,

title = "Integration of a generalized ratio of polynomials",

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.",

author = "Brandsema, {Matthew J.} and Brocker, {Donovan E.}",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = oct,

day = "2",

doi = "10.3390/math9202579",

language = "English (US)",

volume = "9",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "20",

}

TY - JOUR

T1 - Integration of a generalized ratio of polynomials

AU - Brandsema, Matthew J.

AU - Brocker, Donovan E.

PY - 2021/10/2

Y1 - 2021/10/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85117444872&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85117444872&partnerID=8YFLogxK

U2 - 10.3390/math9202579

DO - 10.3390/math9202579

M3 - Article

AN - SCOPUS:85117444872

SN - 2227-7390

VL - 9

JO - Mathematics

JF - Mathematics

IS - 20

M1 - 2579

ER -

Integration of a generalized ratio of polynomials

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this