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Extended Kompaneets Equation

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*1st order Expansion*

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*2nd order Expansion*

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*4th order Expansion*

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*Some Work*

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Coefficient of (1+n[e])n[e]

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Coefficient of n'[e]

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Coefficient of n''[e]

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Coefficient of n'''[e]

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Coefficient of (5 n[e] n'[e]-e (n'[e])^2+2 e n[e] n''[e])

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Extended Kompaneets Operator

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