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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 1995 • Question 8

Question

Math 6210 • Real Analysis Fall 1995 • Question 8

Let \(f\) be entire, \(|f(t)|=2\) for all \(t\in \mathbb R\) and \(f(i)=1\). Then find \(f(-i)\).

Raw LaTeX

Let \(f\) be entire, \(|f(t)|=2\) for all \(t\in\mathbb R\) and
\(f(i)=1\). Then find \(f(-i)\).

Topic Tags

Entire Functions and Liouville-Type Theorems