[1]
|
G. W. Bluman and S. C. Anco, “Symmetry and Integration Methods for Differential Equations,” Springer-Verlag, Berlin, 2010.
|
[2]
|
S. Bludman and D. C. Kennedy, “Invariant Relationships Deriving from Classical Scaling Transformations,” Journal of Mathematical Physics, Vol. 52, 2011, Article ID: 042092.
|
[3]
|
S. Chandrasekhar, “An Introduction to the Study of Stellar Structure, Chapters III, IV,” University of Chicago, 1939.
|
[4]
|
M. Schwarzschild, “Structure and Evolution of the Stars,” Princeton University Press, Princeton, 1958.
|
[5]
|
R. Kippenhahn and A. Weigert, “Stellar Structure And Evolution,” Springer-Verlag, Berlin, 1990.
|
[6]
|
C. J. Hansen and S. D. Kawaler, “Stellar Interiors: Physical Principles, Structure, and Evolution,” Springer-Verlag, Berlin, 1994.
|
[7]
|
G. P. Horedt, “Polytropes: Applications in Astrophysics and Related Fields,” Kluwer, Dordrecht, 2004.
|
[8]
|
F. K. Liu, “Polytropic Gas Spheres: An Approximate Analytic Solution of the Lane-Emden Equation,” Monthly Notices of the Royal Astronomical Society, Vol. 281, No. 4, 1996, pp. 1197-1205.
|
[9]
|
S. A. Bludman and D. C. Kennedy, “Analytic Models for the Mechanical Structure of the Solar Core,” The Astrophysical Journal, Vol. 525, No. 2, 1999, pp. 1024-1031.
|
[10]
|
P. Pascual, “Lane-Emden Equation and Padé’s Approximants,” Astronomy & Astrophysics, Vol. 60, 1977, pp. 161-163.
|
[11]
|
Z. F. Seidov, “Lane-Emden Equation: Picard vs Pade,” arXiv:astro-ph/0107395.
|
[12]
|
W. E. Boyce and R. C. DiPrima, “Elementary Differential Equations and Boundary Value Problems,” 7th Edition, John Wiley and Sons, Hoboken, 2001.
|
[13]
|
D. W. Jordon and P. Smith, “Nonlinear Ordinary Differential Equations,” 3rd Edition, Oxford University Press, Oxford, 1999.
|