## Classical Electrodynamics |

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Page 72

where Q,(x) is any one of the cylinder functions of order v. These may be verified

directly from the series representation (3.82). For reference purposes, the limiting

forms of the various kinds of

where Q,(x) is any one of the cylinder functions of order v. These may be verified

directly from the series representation (3.82). For reference purposes, the limiting

forms of the various kinds of

**Bessel functions**will be given for small and large ...Page 74

Expansion (3.96) and (3.97) is the conventional Fourier-

particularly appropriate to

Dirichlet boundary conditions on a cylinder; see the following section). But it will

be ...

Expansion (3.96) and (3.97) is the conventional Fourier-

**Bessel**series and isparticularly appropriate to

**functions**which vanish at p = a (e.g., homogeneousDirichlet boundary conditions on a cylinder; see the following section). But it will

be ...

Page 634

Orthogonal functions,

spherical harmonics, 65 Orthogonality, of

95 of

Orthogonal functions,

**Bessel functions**, 73 general, 44 Legendre polynomials, 57spherical harmonics, 65 Orthogonality, of

**Bessel functions**on finite interval, 73,95 of

**Bessel functions**on infinite interval, 77 of Legendre polynomials, 58 of ...### What people are saying - Write a review

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

BoundaryValue Problems in Electrostatics II | 54 |

Copyright | |

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### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written