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Lagrange’s inversion formula and function matrices

Published online by Cambridge University Press:  01 August 2016

Cedric A. B. Smith
Cedric A. B. Smith*
Affiliation:
Galton Laboratory, 4 Stephenson Way, London NW1 2HE
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Extract

Lagrange's inversion formula is usually presented in the following form. Let f be a regular (= analytic or holomorphic) complex function with the properties

Then it is a standard theorem that it has a regular inverse function g, such that g (f (z)) = z, with similar properties. (I assume here standard results to be found in appropriate text books.

Type
Articles
Information
The Mathematical Gazette , Volume 80 , Issue 489 , November 1996 , pp. 532 - 537
Copyright
Copyright © The Mathematical Association 1996

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References

1. Jeffreys, H. and Jeffreys, B. Swirles Methods of mathematical physics, CUP (1950) 2nd ed. (1996).Google Scholar
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