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Entire Functions

  • John B. Conway
Part of the Graduate Texts in Mathematics book series (GTM, volume 11)

Abstract

To begin this chapter, let us recall the Weierstrass Factorization Theorem for entire functions (VII. 5.14). Let f be an entire function with a zero of multiplicity m ≥ 0 at z = 0; let {a n } the zeros of f, a n ≠ 0, arranged so that a zero of multiplicity k is repeated in this sequence k times.

Keywords

Entire Function Finite Order Blaschke Product Factorization Theorem Finite Rank 
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

© Springer Science+Business Media, Inc. 1978

Authors and Affiliations

  • John B. Conway
    • 1
  1. 1.Mathematics DepartmentUniversity of TennesseeKnoxvilleUSA

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