Entire Functions

Norbert Steinmetz ()
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Norbert Steinmetz: TU Dortmund, Department of Mathematics

Chapter 5 in Lectures on Complex Analysis, 2026, pp 97-116 from Springer

Abstract: Abstract In this chapter, infinite products are introduced and examined as tools serving two main purposes: on the one hand, to construct holomorphic or meromorphic functions with prescribed properties; on the other, to provide product representations of known functions. In particular, we establish the basic theory of entire functions. As a slight departure from the main topics, the final section discusses the Mittag-Leffler theorem on the partial fraction decomposition of meromorphic functions.

Date: 2026
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DOI: 10.1007/978-3-032-13996-2_5

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