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Partial-fraction decomposition of a rational function and its application.
- Source :
-
Advances in Continuous & Discrete Models . 1/3/2023, Vol. 2023 Issue 1, p1-22. 22p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRALS
*CAUCHY integrals
*MATHEMATICAL functions
*PARTIAL fractions
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 27314235
- Volume :
- 2023
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Continuous & Discrete Models
- Publication Type :
- Academic Journal
- Accession number :
- 161119747
- Full Text :
- https://doi.org/10.1186/s13662-022-03734-4