Open AccessTaylor and Maclaurin Series Representations of the Nield-Kuznetsov Function of the First Kind
Author(s) -
T. L. Alderson,
M. H. Hamdan
Publication year - 2022
Language(s) - English
DOI - 10.37394/232021.2022.2.7
Subject(s) - taylor series , series (stratigraphy) , convergence (economics) , mathematics , polynomial , function (biology) , function series , taylor's theorem , computation , convergent series , argument (complex analysis) , calculus (dental) , mathematical analysis , algorithm , power series , biochemistry , chemistry , evolutionary biology , economics , biology , economic growth , medicine , dentistry , paleontology
Taylor and Maclaurin series and polynomial approximations of the Standard Nield-Kuznetsov function of the first kind are obtained in this work. Convergence and error criteria are developed. The obtained series represent alternatives to the existing asymptotic and ascending series approximations of this integral function, and are expected to provide an efficient method of computation that is valid for all values of the argument.