Spherical harmonics : an elementary treatise on harmonic functions with applications
by T. M. MacRobert.
3d ed. rev. / with the assistance of I. N. Sneddon.
Oxford : Pergamon Press, ©1967.
xviii, 349 págs. : ilustraciones, retr. ; 24 cm.
Serie: International series of monographs in pure and applied mathematics ; v. 98
"First and second ed. published in 1927 and 1947".
"Publications of Thomas Murray MacRobert": p. xv-xviii.
Bibliografía: p. 339.
Reseña: MathSciNet, 36 #4037
Capítulos
- I. Fourier series
- II. Conduction of heat
- III. Transverse vibrations of stretched strings
- IV. Spherical harmonics : the hypergeometric function
- V. The Legendre polynomials
- VI. The Legendre functions
- VII. The associated Legendre functions of integral order
- VIII. Applications of Legendre coefficients to potential theory
- IX. Potentials of spherical shells, spheres, and spheroids
- X. Applications to electrostatics
- XI. Ellipsoids of revolution
- XII. Eccentric spheres
- XIII. Clerk Maxwell's theory of spherical harmonics
- XIV. Bessel functions
- XV. Asymptotic expansions and Fourier-Bessel expansions
- XVI. Applications of Bessel functions
- XVII. The hypergeometric function
- XVIII. Associated Legendre functions of general order.