## Classical Electrodynamics |

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Page 72

where 12 , ( 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

and ...

where 12 , ( 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 smalland ...

Page 74

97 ) is the conventional Fourier -

conditions on a cylinder ; see the following section ) . But it will be noted that an ...

97 ) is the conventional Fourier -

**Bessel**series and is particularly appropriate to**functions**which vanish at p = a ( e . g . , homogeneous Dirichlet boundaryconditions on a cylinder ; see the following section ) . But it will be noted that an ...

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 |

RelativisticParticle Kinematics and Dynamics | 391 |

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 charged particle 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 modes 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 shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written