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expressed in the form:

The source term Q in Eq. 2.27.20 can be expressed in the form

where

Q = exp(- - v± - ik//rgcos e) x _ _ s t--—v n=-M - + v±+ i\k//rg cos9+ n) x ji + exp^n^ + ^ + ik//rg cos9)]-exp(o(( + ^ + ik//rg cos9)]}. (2.27.23)

Again note the singularities in Eq. 2.27.21 and Eq. 2.27.23 at the cyclotron resonances described by Eq. 2.27.19. By using the Newberger sum rule (Newberger, 1982)

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