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.
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© 2006 Birkhäuser Boston
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(2006). Entire and Meromorphic Functions. In: Complex Variables with Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4513-7_12
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DOI: https://doi.org/10.1007/978-0-8176-4513-7_12
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4457-4
Online ISBN: 978-0-8176-4513-7
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