NAME:   John Brillhart

ADDRESS:   Department of Mathematics
University of Arizona
Tucson, AZ 85721-0001

EMAIL ADDRESS: jdb@math.arizona.edu

TITLE OF TALK:  Reverting the Power Series for Real Elliptic 
Integrals of the First Kind

ABSTRACT OF TALK:
If we are given the power series of a function f, it is
rarely possible to find the general term of the power 
series of f^{-1} in a usable form. Usually we have to settle
for the coefficients only up to some specific degree. 

In this talk we will find the Maclaurin expansion for f^{-1} 
when the f series is that of any real elliptic integral of
the first kind. The general formula obtained will then be 
used to prove some periodic divisibility results for the 
coefficients of the series for f^{-1}.