Work

Application of Complex Analysis to Series and Generalized Chybeshev Polynomials of First Kind

Year: 2019

Type: article

Abstract: In this article, we considered application of complex analysis to series and generalized Chebyshev polynomials. DeMoivre’s theorem and the general Binomial expansion were used to establish alternative method for generating Chebyshev polynomials. The usual triple recursion formula derived from trigonometric identities was used to generate Chebyshev polynomials which yields same results with the alternative method. Some illustrative examples were given to show ability of the method. The polynomials obtained can be used to demonstrate approximation where maximum component of error is minimized in numerical analysis.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.3345071

Authors: Egahi Musa, Agbata, B.C, Omatola I.U

Institutions: Benue State University, University of Nigeria, Kogi State University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4288288704

FWCI:

Cites: 1

Cited by:

Related to: 10