Mathematical Methods in the Physical Sciences · Problem 11.1

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. For Problem 2, see Chapter 2, Section 17, Problem 19.

\ln\sqrt{(1+x)^2 + y^2}