MacRobert, Thomas Murray, 1884-1962.
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, c1967. xviii, 349 p. : il., retr. ; 24 cm. — (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.
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.
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