On a class of variational equations transformable to the Gauss hypergeometric equation

Details On a class of variational equations transformable to the Gauss hypergeometric equation On a class of variational equations transformable to the Gauss hypergeometric equation

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..145y&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 2, 1992, p. 145-150.

Mathematics

2

Gauss Equation, Hamiltonian Functions, Hypergeometric Functions, Transformations (Mathematics), Differential Equations, Linear Equations, Matrices (Mathematics), Periodic Functions

Scientific paper

A new class of linear ordinary differential equations with periodic coefficients is found which can be transformed to the Gauss hypergeometric equation. Therefore, the monodromy matrices are computable explicitly. These equations appear as the variational equations around a straight-line solution in Hamiltonian systems of the form H = T(p) + V(q), where T(p) and V(q) are homogeneous functions of p and q, respectively.

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