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Table of Contents

Part I, Theory of Symmetric Functions,

Introduction

Definitions of the elementary symmetric functions, the
#'s, and the sums of powers, the s's

Convergence of the s's and the #'s

Expansion of an infinite product in terms of the #'s and
in terms of the s's, and other fundamental forrulas

Fundamental Theorem of Symmetric Functions

Expressicns fer the #'s in terms of the s's, and for the
s's in terms of the p's

Products and quotients of infinite products

The most general £ functions in terws of the s's, and in

terms of the #'s, with examples

Fart II, Applications to Infinite Froducts,

Expansions of products having bincwial or trinomial factors
Expansions of the .9 and elliptic functions
Expansions of functions requiring a convergence facter;
the Gamma function and the sine function
Expansion of a product in which the a's form a geometric

sequence; the O-function

Appendix.

Note concerning the weights
Note on the choice of nctation
References

Vita

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