On compact explicit formulas of the partial fraction decomposition and applications

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DOI:

https://doi.org/10.22481/intermaths.v4i1.12294

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Partial fraction decomposition, Derivation of higher order, Explicit formula

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Referências

Abel, U., Applications of a Generalized Leibniz Rule, Constructive Theory of Functions, Sozopol 2013 (K. Ivanov, G. Nikolov and R. Uluchev, Eds.), pp. 1-9 Prof. Marin Drinov Academic Publishing House, Sofia, 2014.

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Bradley, W. T. and Cook, W. J., Two Proofs of the Existence and Uniqueness of the Partial Fraction Decomposition, International Mathematical Forum, Vol. 7, 2012, no. 31, 1517-1535.

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Kung, Sidney H., Partial Fraction Decomposition by Division, The College Mathematics Journal, Vol. 37, No. 2 (Mar., 2006), pp. 132-134

Man, Y.K. (2012) A Cover-Up Approach to Partial Fractions with Linear or Irreducible Quadratic Factors in the Denominators. Applied Mathematics and Computation, 219, 3855-3862. http://dx.doi.org/10.1016/j.amc.2012.10.016

Majumdar, R., Generalization of Pascal’s Rule and Leibniz’s Rule for Differentiation, Rose-Hulman Undergraduate Mathematics Journal, Vol. 18 Iss. 1 (2017), Article 12. Available at: https://scholar.rose-hulman.edu/rhumj/vol18/iss1/12

Man, Yiu-K., A simple algorithm for computing partial fraction expansions with multiple poles, International Journal of Mathematical Education in Science and Technology, 38:2 (2007), 247-251. https://doi.org/10.1080/00207390500432337

Nicholson, W.K., Introduction to Abstract Algebra, Boston: PWS Publishing, 1993.

Norman, L.B., Discrete Mathematics, , 2nd edn, New York: Oxford University Press, 1990.

Rose, D.A. Partial Fractions by Substitution. The College Mathematics Journal, 38 (2007), 145-147.

Sloła, D. and Wituła, R., Three Bricks Method of the Partial Fraction Decomposition of Some Type of Rational Expression. Lecture Notes in Computer Science, 3516 (2005), 659-662. http://dx.doi.org/10.1007/11428862_89

Wituła, R. and Słota, D., Partial Fractions Decomposition of Some Rational Functions. Applied Mathematics and Computation, 197 (2008), 328-336.http://dx.doi.org/10.1016/j.amc.2007.07.048

Ma, Y., Yu, J. and Wang, Y., Efficient Recursive Methods for Partial Fraction Expansion of General Rational Functions. Journal of Applied Mathematics, 2014, Article ID: 895036. https://doi.org/10.1155/2014/895036

Publicado

2023-06-30

Como Citar

de Lima, L. B. ., & Mustapha, R. . (2023). On compact explicit formulas of the partial fraction decomposition and applications. Intermaths, 4(1), 48-66. https://doi.org/10.22481/intermaths.v4i1.12294

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