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Question 1. (Brown&Churchill Ex.59.1) (modified) Suppose that f(2) is entire and that the harmonic function v(x, y) = Im(f()) has an upper bound vo;
Question 1. (Brown&Churchill Ex.59.1) (modified) Suppose that f(2) is entire and that the harmonic function v(x, y) = Im(f()) has an upper bound vo; that is, v(x, y) to for all points (x, y) in the xy plane. Show that v(x, y) must be constant throughout the plane. (Hint: Tutorial 9, T4)
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Calculus
Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
