Mathematics · Complex Analysis
Let f be an entire function. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1If f is a non-constant function, then f(1/z) must have a pole at 0.
- 2If f(1/z) has a removable singularity at 0, then f must be a constant function.
- 3If f(z) = f(z + 1) = f(z + i) for all z ∈ &complex;, then f must be a constant function.✓
- 4If f(z) = f(z + 1) for all z ∈ &complex;, then f must be a constant function.
Correct answer
If f(z) = f(z + 1) = f(z + i) for all z ∈ &complex;, then f must be a constant function.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Complex Analysis MCQs →Want more practice questions on Complex Analysis?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Complex Analysis