Entire Functions

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


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.


Entire Function Finite Order Blaschke Product Factorization Theorem Finite Rank 
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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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