Mathematical Methods in the Physical Sciences · Problem 9.11

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · miscellaneous-cylinder-series-sum

Problem

The series in Problem 5.12 can be summed (see Problem 2.6). Show that

u = 50 + \frac{100}{\pi}\arctan\frac{2ar\sin\theta}{a^2 - r^2}.