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1. F. Deeba, Z. Ahmad, and G. Murtaza, Phys. Plasmas 17, 102114 (2010).
2. M. Brambilla, Kinetic Theory of Plasma Waves Homogeneous Plasmas ( Oxford University Press, New York, 1998), p. 155.
3. R. L. Mace, Phys. Plasmas 10, 2181 (2003).
4. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed., edited by A. Jeffrey and D. Zwillinger ( Academic, San Diego, 2007).
5. I. Bernstein, Phys. Rev. 109, 10 (1958).

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In a recent paper [Deeba ., Phys. Plasmas , 102114 (2010)], a generalized dielectric constant for the electron Bernstein waves using non-Maxwellian distribution functions was derived in a collisionless, uniform magnetized plasma. Using the Neumann series expansion for the products of Bessel functions, Deeba, Ahmad, and Murtaza derived the dispersion relations for both kappa and the generalized () distributions in a straightforward manner. However, their results are questionable, since the Neumann series expansion for the products of Bessel functions is valid for small argument, while for perpendicular propagation, it is necessary to evaluate special integrands for small as well as large arguments.


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