Spherical harmonics : an elementary treatise on harmonic functions with applications /

Guardado en:
Autor Principal: MacRobert, Thomas Murray, 1884-1962.
Otros Autores: Sneddon, Ian Naismith. (Editor )
Formato: Libro
Idioma:English
Publicado: Oxford : Pergamon Press, c1967.
Edición:3d ed. rev. /
Series:International series of monographs in pure and applied mathematics ; v. 98
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Tabla de Contenidos:
  • 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.