Functiontheoretic properties of the discriminant of Hill's equation

Harry Hochstadt

Type: Article

Publication Date: 1963-01-01

Citations: 56

DOI: https://doi.org/10.1007/bf01111426

View Publication

Locations

Mathematische Zeitschrift - View

Similar Works

Action	Title	Year	Authors
+	THE DISCRIMINANT OF HILL'S EQUATION	1962	David L. Jagerman
+	A NEW FORM OF DISCRIMINANT FOR HILL’S EQUATION	1999	史金麟
+	The spectrum of Hill's equation	1975	H. P. McKean Pierre van Moerbeke
+	Discriminant of Quadratic Equation	2022
+	AN ABSOLUTELY STABLE DOMAIN OF HILL'S EQUATION	1986	J. H.
+	Spectral properties of the Hill operator	2016	А. Г. Баскаков D. M. Polyakov
+	On the asymptotic spectrum of Hill's equation	1963	Harry Hochstadt
+	Stability charts for Hill's equation	1980	Bernard A. Asner
+	Appendix A: A Note on the Theory of Discriminant Functions	1941	David Durand
+	Dedekind’s discriminant theorem	2017
+	Sur l'équation de Hill analytique	1985	Alain Grigis
+ PDF Chat	Functional approach to the Brelot-Keldych theorem	1977	Jaroslav Lukeš
+ PDF Chat	On a generalization of Hille's functional equation	1979	Hiroshi Haruki
+	The derivatives of Dawson's function	1971	Richard Barakat
+	The quadratic function and the quadratic equation	1983	B.D. Bunday Helen Mulholland
+	THE QUADRATIC FUNCTION AND THE QUADRATIC EQUATION	1968	C. Plumpton W.A. TOMKYS
+	G-estimates of the quadratic discriminant function	1989	Vyacheslav L. Girko Т. В. Павленко
+ PDF Chat	The existence and local behaviour of the quadratic function approximation	1990	Richard Gordon Brookes A. W. McInnes
+	Approximation Theorems and Estimates for the Discriminant	1980	Helmut Hasse
+	The Quadratic Equation and its Numerical Roots	2021	M. A. Sandoval-Hernandez Héctor Vázquez-Leal U. Filobello-Nino Elisa De-Leo-Baquero Alexis C. Bielma-Perez J.C. Vichi-Mendoza O. Alvarez-Gasca A. D. Contreras-Hernandez N. Bagatella-Flores

Works That Cite This (44)

Action	Title	Year	Authors
+ PDF Chat	Behavior as t → ∞ of Solutions of a Mixed Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis	2023	Hovik A. Matevossian V. Yu. Smirnov
+	On a theorem of Hochstadt	1998	Rudi Weikard
+ PDF Chat	A remark on the discriminant of Hill’s equation and Herglotz functions	2014	Konstantin Pankrashkin
+	Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points	1976	H. P. McKean Eugene Trubowitz
+ PDF Chat	The Heun Equation and the Calogero-Moser-Sutherland System III: The Finite-Gap Property and the Monodromy	2004	Kouichi Takemura
+ PDF Chat	On the shape of the ground state eigenvalue density of a random Hill's equation	2005	Santiago Cambronero Brian Rider José A. Ramı́rez
+ PDF Chat	Comparison on Sufficient Conditions for the Stability of Hill Equation: An Arnold’s Tongues Approach	2017	Carlos Franco Joaquı́n Collado
+	Solvability of Infinite Linear Systems	2021	Bruno de Malafosse Eberhard Malkowsky Vladimir Rakočević
+	A novel discriminant approximation of periodic differential equations	2018	Carlos Franco Joaquı́n Collado
+	An inverse problem for a differential operator with a mixed spectrum	1985	Harry Hochstadt Wallace Goldberg

Works Cited by This (4)

Action	Title	Year	Authors
+	Stable hill equations	1961	Peter S. Ungar
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann
+	�ber lineare homogene Differentialgleichungen 2. Ordnung mit periodischen Koeffizienten. Bemerkung zur Arbeit gleichen Titels von HerrnHamel	1918	Otto Haupt
+ PDF Chat	Asymptotic estimates for the Sturm‐Liouville spectrum	1961	Harry Hochstadt