Mathematics · Complex Analysis
A function f : &complex; → &complex; is said to be analytic at ∞, if the function g defined by g(w) = f(1/w) is analytic at 0 with an appropriate value given for g(0). Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Any non-constant polynomial is analytic at ∞
- 2If f is analytic at ∞ then f is bounded
- 3For any z 0 in &complex;, the function f(z) = e 1/(z-z 0 ) is analytic at ∞✓
- 4Any entire function can be extended to an analytic function at ∞
Correct answer
For any z 0 in &complex;, the function f(z) = e 1/(z-z 0 ) is analytic at ∞
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