Mathematics – Mathematical Physics
Scientific paper
Oct 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jmp....41.7029g&link_type=abstract
Journal of Mathematical Physics, Volume 41, Issue 10, pp. 7029-7042 (2000).
Mathematics
Mathematical Physics
19
Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages
Scientific paper
A generalized Lane-Emden equation with indices (α,β,ν,n) is discussed, which reduces to the Lane-Emden equation proper for α=2, β=1, ν=1. General properties of the set of solutions of this equation are derived, and exact solutions are given. These include a singular solution without free integration constant for arbitrary n and for particular relations between n, ν, and α. Among the two-parameter solutions nonequivalent families of solutions of the same equation are obtained.
Goenner Hubert
Havas Peter
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