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A Proof of Lagrange's Theorem

Published online by Cambridge University Press:  20 January 2009

T. Hugh Miller
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If y=z + xy(y) where x and z are independent, Lagrange's series gives the expansion of any function of y in terms of x. The coefficients of the powers of x may be found thus. Let ø(y) be the function to be expanded. Then by Taylor's theorem

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , February 1885 , pp. 45 - 46
Copyright
Copyright © Edinburgh Mathematical Society 1885