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New Generating Sets of the First Order Lane-Emden Differential Equations in <i>N</i>-Dimensional Radially Symmetric Polytropes
Department of Astronomy, Faculty of Science, King Abdul-Aziz University, Jeddah, Saudi Arabia
Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt
- 1 Department of Astronomy, Faculty of Science, King Abdul-Aziz University, Jeddah, Saudi Arabia
- 2 Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt
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Abstract
In the present paper, two new generating sets, of homology invariant functions will be established. Moreover, by the aid of two independent homology invariant functions of each set we established the transformed first order Lane-Emden equation. The first equation for polytropic index n ≠ – 1, ± ∞ depends on five free parameters, while the other equation is for, n ＝ ±∞ and depends on three free parameters.
KeywordsHomology TheoremLane-Emden Differential EquationsStellar Interior
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