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New Generating Sets of the First Order Lane-Emden Differential Equations in <i>N</i>-Dimensional Radially Symmetric Polytropes

New Generating Sets of the First Order Lane-Emden Differential Equations in <i>N</i>-Dimensional Radially Symmetric Polytropes
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摘要 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. 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.
出处 《Applied Mathematics》 2013年第4期659-662,共4页 应用数学(英文)
关键词 HOMOLOGY Theorem Lane-Emden Differential Equations Stellar Interior Homology Theorem Lane-Emden Differential Equations Stellar Interior
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