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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 ...
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... 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 ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ