Articles liés à The Discriminant of Hill's Equation (Classic Reprint)

The Discriminant of Hill's Equation (Classic Reprint) - Couverture souple

Magnus, Wilhelm

 
9781334016349: The Discriminant of Hill's Equation (Classic Reprint)

Synopsis

This book focuses on detailed mathematical analysis of the discriminant of Hill's equation, which is useful for deriving general theorems. The author's approach is notable for the derivation of several formulas for the first four terms of the expansion. The text provides a complete proof of Borg's Theorem, as well as novel results on the asymptotic distribution of the characteristic values and on the intervals of instability. Notable for its early investigation of certain summation formulas, this text is instrumental in establishing relations between the characteristic values of Hill's equation and its solutions of period n and 2a.

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