Fully relativistic plasma dispersion function

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Properties of a relativistic plasma dispersion function (PDF) that is required for the description of waves propagating perpendicular to a magnetic field in a fully relativistic, magnetized, Maxwellian plasma, are presented. Series, asymptotic series, recurrence relations, integral representations, derivatives, generating functions, approximations, differential equations, and connections with standard transcendental functions are discussed, as are the PDF's analytic properties.

Original languageEnglish
Pages (from-to)6471-6488
Number of pages18
JournalJournal of Mathematical Physics
Issue number12
Publication statusPublished - 1 Jan 1994


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