Seema posted an Question
April 05, 2020 • 19:12 pm 50 points
  • CSIR NET
  • Mathematical Sciences

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Letf:D Dbe holomorphic with f0)-O andf(1/2)-0, where D- (z: <1}). Which of the following statements are correct? 1. ras 43 3. r(1/2)X s 43 and (0)s1 2 O s1 4 S)-,2eD

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    Ujjawal vishal best-answer

    Use Schwarz-Pick Lemma :-   |f'(z)| ≤ [1-f(Z)^2] / [1-z^2] Put z =0 & Z =1/2 we will find options b & c correct. option d is wrong as f(1/2)≠1/2

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