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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1999-05-26