Mathematical Methods in the Physical Sciences · Problem 11.2

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · harmonic-functions-complex-variable

Problem

Verify that the given function is harmonic, and find a function

f(z)

of which it is the real part. Hints: Use Problem 2.64. See Chapter 2, Section 17, Problem 19.

\text{arc}\tan\frac{y}{x+1}