(4) Fix a € C\{0,1}, and letF = {f € Hol(D) | ƒ(D) C C\{0,1}, ƒ(0) = a}.Prove that supfer [ƒ'(0)| < ∞. [Hint: lift, and use the Schwarz.]

We are to prove that for the a in C\{0,1} sup f belongs to F |f'(0)| < ∞

Answered: (4) Fix a € C\{0,1}, and let F = {fe…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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(4) Fix a € C\{0,1}, and let F = {fe Hol(D) | f(D) C C\{0,1}, f(0) = a}. PƒeƑ |ƒ'(0)| < ∞. [Hint: lift, and use the Schwarz.] Prove that sup