Zeros and Residues

Stephan Ramon Garcia, Javad Mashreghi and William T. Ross
Additional contact information
Stephan Ramon Garcia: Pomona College, Department of Mathematics
Javad Mashreghi: Laval University, Department of Mathematics and Statistics
William T. Ross: University of Richmond, Department of Mathematics and Computer Science

Chapter Chapter 5 in Finite Blaschke Products and Their Connections, 2018, pp 75-99 from Springer

Abstract: Abstract There is a fascinating relationship between the zeros of a finite Blaschke product B and the location of the solutions of the equation B(z) = ζ, in which ζ ∈ 𝕋 $$\zeta \in \mathbb {T}$$ is fixed. There are also results concerning the relationship between the zeros of B and those of B′ (discussed in the next chapter).

Keywords: Finite Blaschke Product; Gauss-Lucas Theorem; Sendov; Gorkin; Interesting Geometric Interpretation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-78247-8_5

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DOI: 10.1007/978-3-319-78247-8_5

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