## Calculation of the dielectric tensor for a generalized Lorentzian (kappa) distribution function

Expressions are derived for the elements of the dielectric tensor for linear waves propagating at an arbitrary angle to a uniform magnetic field in a fully hot plasma whose constituent particle species [sigma] are modeled by generalized Lorentzian distribution functions. The expressions involve readily computable single integrals whose integrands involve only elementary functions, Bessel functions, and modified plasma dispersion functions, the latter being available in the form of finite algebraic series. Analytical forms for the integrals are derived in the limits [lambda][r arrow]0 and [lambda][r arrow][infinity], where [lambda]=([ital k][sub [perpendicular]][rho][sub [ital L][sigma]])[sup 2]/2, with [ital k][sub [perpendicular]] the component ofmore »