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On the determination of a Hill's equation from its spectrum II

✍ Scribed by Harry Hochstadt


Publisher
Springer
Year
1966
Tongue
English
Weight
68 KB
Volume
23
Category
Article
ISSN
0003-9527

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On a family of Hill's equations in the c
✍ Amar Makhlouf; Fernand Nahon πŸ“‚ Article πŸ“… 1991 πŸ› Springer Netherlands 🌐 English βš– 472 KB

The variational equation of the periodic solution in an homogenous potential of degree 2m leads to a family of Hill's equations. H. Yoshida solves these equations by a transformation to the Gauss equation of hypergeometric functions. We study directly this family for complex t, and in the case m ---