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math-ph2010
Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the harmonic oscillator
H. C. Rosu, K. V. Khmelnytskaya
We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant…
math-ph2010★ 22 cited
Spectral parameter power series representation for Hill's discriminant
K. V. Khmelnytskaya, H. C. Rosu
We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance…