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Your search keyword '"Partial fraction decomposition"' showing total 1 results
Start Over Descriptor "Partial fraction decomposition" Topic partial fractions Publication Type Academic Journals Journal advances in continuous & discrete models

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1 results on '"Partial fraction decomposition"'

1. Partial-fraction decomposition of a rational function and its application.

Author

Zhu, Jun-Ming and Luo, Qiu-Ming

Subjects
*INTEGRALS, *CAUCHY integrals, *MATHEMATICAL functions, *PARTIAL fractions, *POLYNOMIALS
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]

Published
2023
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