Titlebook: Handbook of Complex Variables; Steven G. Krantz Book 1999 Springer Science+Business Media New York 1999 Argument principle.Blaschke produc

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The Argument Principle,In this chapter, we shall be concerned with questions that have a geometric, qualitative nature rather than an analytical, quantitative one. These questions center around the issue of the local geometric behavior of a holomorphic function.

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Rational Approximation Theory,A . function is, by definition, a quotient of polynomials.

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Photometers and Spectrophotometers, each compact . ? . (see §§3.1.5) and each ∈ > 0 there is an . > 0 such that if . > .,then |.(.) — g.(.)| < . for all .. It should be noted that, in general, the choice of . depends on ∈ . on ., but not on the particular point z ∈..

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Optical Properties of Oxide Nanomaterials,that are used when we study polynomials on ?. The necessary device is what are called the .: If a ∈ .(0, 1), then we define the Blaschke factor.Observe that we have seen these functions before in the guise of M?bius transformations (§§5.5.1, §§6.2.2).