TY - JOUR
T1 - Fully relativistic plasma dispersion function
AU - Kamp, Léon P.J.
PY - 1994/1/1
Y1 - 1994/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=36449000944&partnerID=8YFLogxK
U2 - 10.1063/1.530685
DO - 10.1063/1.530685
M3 - Article
AN - SCOPUS:36449000944
SN - 0022-2488
VL - 35
SP - 6471
EP - 6488
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 12
ER -