Article ID: MTJPAM-D-20-00039

Title: Contour Integration for the Improper Rational Functions


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00039; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 135-139

Document Type: Research Paper

Author(s): Qiu-Ming Luo a

aDepartment of Mathematics, Chongqing Normal University Chongqing Higher Education Mega Center, Huxi Campus Chongqing 401331, People’s Republic of China

Received: 5 November 2020, Accepted: 11 November 2020, Published: 25 April 2021.

Corresponding Author: Qiu-Ming Luo (Email address: luomath2007@163.com)

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Abstract

In this paper, we give the intact results for the contour integral of the rational functions in series of the complete Bell polynomials. As applications, we show several interesting examples for the contour integral of the improper rational functions.

Keywords: Rational function, Improper rational functions, Contour integration, Complete Bell polynomials

References:
  1. E. T. Bell, Exponential polynomials, Ann. Math. 35, 258-277, 1934.
  2. E. Just and N. Schaumberger, Contour integration for rational functions, Am. Math. Monthly 71 (5), 546-567, 1964.
  3. J. Riordan, Combinatorial Identities, John Wiley & Sons, 1968.