1 1.Suppose g: U → C is a holomorphic function on a domain U. Suppose a EU and the disc{z € C: |z-a] ≤ R} is contained in U (where R > 0).Show that2T1f(a) 2/7 ²* 9 (a + Reiº) do.[You can use any theorem from notes. It's not a trick question.]

Answered: Image /qna-images/answer/2ee8aa8b-edf6-44d1-b833-c54cd6ce325c.jpg

Answered: Suppose g: U →→ C is a holomorphic…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 16E: Prove that if a subring R of an integral domain D contains the unity element of D, then R is an...

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Suppose g: U →→ C is a holomorphic function on a domain U. Suppose a EU and the disc {z € C: |za| ≤ R} is contained in U (where R > 0). Show that 2T f(a) 21/47 ²2 9 (a + Re¹0) do. Jo [You can use any theorem from notes. It's not a trick question.]