h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C
The partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over R or C. The method is...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/7495964 |
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| _version_ | 1832566778909163520 |
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| author | Kwang Hyun Kim Xin Zhang |
| author_facet | Kwang Hyun Kim Xin Zhang |
| author_sort | Kwang Hyun Kim |
| collection | DOAJ |
| description | The partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over R or C. The method is based on a recursive computation of the h-adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed. |
| format | Article |
| id | doaj-art-ab73d22d94e24ed9961170638937f2c5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab73d22d94e24ed9961170638937f2c52025-02-03T01:03:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/74959647495964h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or CKwang Hyun Kim0Xin Zhang1Departments of Mathematics and Computer Science, Queensborough Community College, 222-05 56th Avenue, Bayside, NY 11364, USAZicklin School of Business, Baruch College, One Bernard Baruch Way, New York, NY 10010, USAThe partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over R or C. The method is based on a recursive computation of the h-adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.http://dx.doi.org/10.1155/2018/7495964 |
| spellingShingle | Kwang Hyun Kim Xin Zhang h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C International Journal of Mathematics and Mathematical Sciences |
| title | h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C |
| title_full | h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C |
| title_fullStr | h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C |
| title_full_unstemmed | h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C |
| title_short | h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C |
| title_sort | h adic polynomials and partial fraction decomposition of proper rational functions over r or c |
| url | http://dx.doi.org/10.1155/2018/7495964 |
| work_keys_str_mv | AT kwanghyunkim hadicpolynomialsandpartialfractiondecompositionofproperrationalfunctionsoverrorc AT xinzhang hadicpolynomialsandpartialfractiondecompositionofproperrationalfunctionsoverrorc |