In plasma physics we have what is known as plasma dispersion function. There are two approximation under which this function can be expanded: when the argument is(adsbygoogle = window.adsbygoogle || []).push({}); lessthan 1, we can use power series expansion and when the argument isgreaterthan 1 we can have asymptotic expression.

My question is, given any plasma system, how do we know that under which approximation we have to expand the plasma dispersion function? How does this change when one introduces magnetic fields into it?

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# A Small & large argument expansion of plasma dispersion function

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