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Entire and Meromorphic Functions

Abstract

We begin this chapter by defining infinite products, and show that their convergence properties are similar to those of infinite series. Just as infinite series were used as tools to develop power series expansions for analytic functions, so infinite products may be used as tools to develop product expansions for analytic functions. As we shall see, a comparison of product and series expansions enables us to determine some interesting identities.

Keywords

Entire Function Meromorphic Function Limit Point Gamma Function Simple Pole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2006

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