On the periodic solutions of a particular Lame equation

Details On the periodic solutions of a particular Lame equation On the periodic solutions of a particular Lame equation

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..397a&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 4, 1991, p. 397-406.

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Elliptic Functions, Hill Determinant, Lame Functions, Fourier Analysis, Periodic Variations

Scientific paper

Hill's equation is considered as a particular case of the Lame equation. A change of variable is used to transform it to the Ince equation, and the solutions are given in the neighborhood of the poles. Comparisons with the periodic solutions of the Ince equation by Magnus and Winkler are used to find the development in Fourier series of periodic solution in functions of one variable and to deduce the development of solutions of the Hill equation as functions of another variable.

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