“Lagrange Inversion Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Lagrange Inversion Theorem

释义

Lagrange Inversion Theorem

Let be defined as a function of in terms of a parameter by

Then any function of

can be expressed as a Power Series in

which converges for sufficiently small

and has the form

References

Goursat, E. Functions of a Complex Variable, Vol. 2, Pt. 1. New York: Dover, 1959.

Moulton, F. R. An Introduction to Celestial Mechanics, 2nd rev. ed. New York: Dover, p. 161, 1970.

Williamson, B. ``Remainder in Lagrange's Series.'' §119 in An Elementary Treatise on the Differential Calculus, 9th ed. London: Longmans, pp. 158-159, 1895.

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