Mathematics · Complex Analysis

Let f be a holomorphic function on the open unit disc &mathbb;D = {z &in; &mathbb;C : |z| < 1}. Suppose that |f| ≥ 1 on &mathbb;D and f(0) = i. Which of the following is the only possible value of f(1/2)?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Complex Analysis?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Complex Analysis

The Dandi March, also known as the Salt Satyagraha, was led by which influential leader?

Which act formally granted independence to India, marking the end of British rule?

Who was the key figure in establishing the Indian National Congress?

Let f be a holomorphic function on the open unit disc &mathbb;D = {z &in; &mathbb;C : |z| < 1}. Suppose that |f| &ge; 1 on &mathbb;D and f(0) = i. Which of the following is the only possible value of f(1/2)?