Partial-fraction decomposition of a rational function and its application

DOI10.1186/s13662-022-03734-4OpenAlexW4313523777MaRDI QIDQ2112553

Jun-Ming Zhu, Qiu-Ming Luo

Publication date: 11 January 2023

Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-022-03734-4

zbMATH Keywords

contour integralrational functioncombinatorial identityStirling numbers of the second kindpartial fraction decompositionalgebraic identityBell polynomialApostol-type polynomialsCauchy's residue theoremharmonic Stirling numbers of the second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special sequences and polynomials (11B83) Classical hypergeometric functions, ({}_2F_1) (33C05) Real rational functions (26C15)

Cites Work

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• Some combinatorial series identities

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