No CrossRef data available.
Article contents
Lagrange’s inversion formula and function matrices
Published online by Cambridge University Press: 01 August 2016
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
- Copyright
- Copyright © The Mathematical Association 1996
References
1.
Jeffreys, H. and Jeffreys, B. Swirles
Methods of mathematical physics, CUP (1950) 2nd ed. (1996).Google Scholar
2.
Bromwich, T. J. A.
An introduction to the theory of infinite series, Macmillan (1908) 2nd ed. (1926).Google Scholar
3.
Fowler, D.
The binomial coefficient function, Amer. Math. Month. 163 (1996) pp. 1–17.CrossRefGoogle Scholar
5.
Fowler, D.
A simple approach to the factorial function, Math. Gaz. 80 (July 1996) pp. 378–381.CrossRefGoogle Scholar