26. Suppose D is a bounded domain with smooth boundary OD, and that f is analytic on DUAD. 2Area(D) a) Prove that supЄOD | f(z)|≥ Length(OD) b) What can you conclude if D is the unit disc D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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26. Suppose D is a bounded domain with smooth boundary OD, and that f is
analytic on DUAD.
2Area(D)
a) Prove that supЄOD | f(z)|≥ Length(OD)
b) What can you conclude if D is the unit disc D.
Transcribed Image Text:26. Suppose D is a bounded domain with smooth boundary OD, and that f is analytic on DUAD. 2Area(D) a) Prove that supЄOD | f(z)|≥ Length(OD) b) What can you conclude if D is the unit disc D.
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