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.]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 that
2T
1
f(a) 2/7 ²* 9 (a + Reiº) do.
[You can use any theorem from notes. It's not a trick question.]
Transcribed Image Text: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 that 2T 1 f(a) 2/7 ²* 9 (a + Reiº) do. [You can use any theorem from notes. It's not a trick question.]
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