Suppose that the functions f, g are entire and f(t+ti) = g(t+ti) for all t ∈ R. Justify that f ≡ g

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 11E
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complex analysis question involving entire functions:

 

Suppose that the functions f, g are entire and f(t+ti) = g(t+ti) for all t ∈ R.
Justify that f ≡ g

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