Journal of Plasma Physics

Research Article

The magnetoplasma dispersion function: some mathematical properties

J. P. M. Schmitta1

a1 Equipe de Recherche associée au C.N.R.S., Laboratoire do Physique des Milieux Ionisés, Ecole Polytechnique, Paris

Abstract

The magnetoplasma dispersion function is defined as

S0022377800024922_eqn1

It is found in all the dispersion relations for wave propagation perpendicular to the magnetic field in hot plasmas. We review the properties of fω(z), and present several new expansions, which may be of interest in the study of properties of waves in plasmas, or may suggest computational methods for calculating fω(z).

(Received September 03 1973)

(Revised March 20 1974)