Maclaurin series

noun

Mac·​lau·​rin series mə-ˈklȯr-ən(z)- 

: a Taylor series that is expanded about the reference point zero and that takes the form {latex}f(x) = f(0) + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^{2} + \dots + \frac{f^{[n]}(0)}{n!}x^{n}{/latex} subject to the conditions holding for a Taylor series

called also Maclaurin's series

Word History

Etymology

Colin Maclaurin †1746 Scottish mathematician

First Known Use

1881, in the meaning defined above