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Blaschke Products and Their Applications pp 249–273Cite as

Polynomials Versus Finite Blaschke Products

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Part of the book series: Fields Institute Communications ((FIC,volume 65))

Abstract

The aim of this chapter is to compare polynomials of one complex variable and finite Blaschke products and demonstrate that they share many similar properties. In fact, we collect many known results as well as some very recent results for finite Blaschke products here to establish a dictionary between polynomials and finite Blaschke products.

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Acknowledgements

The first author was partially supported by RGC grant HKU 704409P. The second author was partially supported by graduate studentship of HKU and RGC grant HKU 704409P.

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Authors and Affiliations

  1. Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong

    Tuen Wai Ng & Chiu Yin Tsang

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  1. Tuen Wai Ng
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  2. Chiu Yin Tsang
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Correspondence to Tuen Wai Ng .

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Editors and Affiliations

  1. , Département de mathématiques et de stati, Université Laval, avenue de la Médecine 1045, Quebec, G1K 7P4, Québec, Canada

    Javad Mashreghi

  2. , Institut Camille Jordan, Université Claude Bernard Lyon 1, avenue du 11 novembre 1918 43, Villeurbanne cedex, 69622, France

    Emmanuel Fricain

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Ng, T.W., Tsang, C.Y. (2013). Polynomials Versus Finite Blaschke Products. In: Mashreghi, J., Fricain, E. (eds) Blaschke Products and Their Applications. Fields Institute Communications, vol 65. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5341-3_14

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