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- Title
Partial-fraction decomposition of a rational function and its application.
- Authors
Zhu, Jun-Ming; Luo, Qiu-Ming
- Abstract
In this paper, by using the residue method of complex analysis, we obtain an explicit partial fraction decomposition for the general rational function x M (x + 1) n λ (M is any nonnegative integer, λ and n are any positive integers). As applications, we deduce the corresponding algebraic identities and combinatorial identities which are the corresponding extensions of Chu' results. We also give some explicit formulas of Apostol-type polynomials and harmonic Stirling numbers of the second kind.
- Subjects
INTEGRALS; CAUCHY integrals; MATHEMATICAL functions; PARTIAL fractions; POLYNOMIALS
- Publication
Advances in Continuous & Discrete Models, 2023, Vol 2023, Issue 1, p1
- ISSN
2731-4235
- Publication type
Article
- DOI
10.1186/s13662-022-03734-4