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Entire Functions

In: Lectures on Complex Analysis

Author

Listed:
  • Norbert Steinmetz

    (TU Dortmund, Department of Mathematics)

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.

Suggested Citation

  • Norbert Steinmetz, 2026. "Entire Functions," Springer Books, in: Lectures on Complex Analysis, chapter 5, pages 97-116, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-13996-2_5
    DOI: 10.1007/978-3-032-13996-2_5
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