# Apply the theorem in Sec. 22 to verify that each of these functions is entire: (a) f (z) = 3x

## Question:

(a) f (z) = 3x + y + i(3y − x);

(b) f (z) = sin x cosh y + i cos x sinh y;

(c) f (z) = e−y sin x − ie−y cos x;

(d) f (z) = (z2 − 2)e−x e−iy.

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## Step by Step Answer:

**Related Book For**

## Complex Variables and Applications

**ISBN:** 978-0073051949

8th edition

**Authors:** James Brown, Ruel Churchill

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