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Page 71
... Bessel functions of the first kind of order v . The series converge for all finite values of x . If v is not an integer , these two solutions J , ( x ) form a pair of linearly independent solutions to the second - order Bessel's ...
... Bessel functions of the first kind of order v . The series converge for all finite values of x . If v is not an integer , these two solutions J , ( x ) form a pair of linearly independent solutions to the second - order Bessel's ...
Page 74
... Bessel series and is particularly appropriate to functions which vanish at p = a ( e.g. , homogeneous Dirichlet boundary conditions on a cylinder ; see the following section ) . But it will be noted that an alternative expansion is ...
... Bessel series and is particularly appropriate to functions which vanish at p = a ( e.g. , homogeneous Dirichlet boundary conditions on a cylinder ; see the following section ) . But it will be noted that an alternative expansion is ...
Page 634
... functions , Bessel functions , 73 general , 44 Legendre polynomials , 57 spherical harmonics , 65 Orthogonality , of Bessel functions on finite interval , 73 , 95 of Bessel functions on infinite inter- val , 77 of Legendre polynomials ...
... functions , Bessel functions , 73 general , 44 Legendre polynomials , 57 spherical harmonics , 65 Orthogonality , of Bessel functions on finite interval , 73 , 95 of Bessel functions on infinite inter- val , 77 of Legendre polynomials ...
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Common terms and phrases
4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ