MacRobert T.M. Spherical harmonics: an elementary treatise on harmonic functions with applications

2nd edition. — London: Methuen, 1947. — 372 p.Fourier Series
Conduction of Heat
Transverse Vibrations of Stretched Strings
Spherical Harmonics: the Hypergeometric Function
The Legendre Polynomials
The Legendre Functions
The Associated Legendre Functions of Integral Order
Applications of Legendre Coefficients to Potential Theory
Potentials of Spherical Shells, Spheres, and Spheroids
Applications to Electrostatics
Ellipsoids of Revolution
Eccentric Spheres
Clerk Maxwell's Theory of Spherical Harmonics
Bessel Functions
Asymptotic Expansions and Fourier-Bessel Expansions
Applications of Bessel Functions
The Hypergeometric Function
Associated Legendre Functions of General Order
Miscellaneous Examples