The Eigenvalues of Mathieu's Equation and their Branch Points

DOI10.1002/sapm1981642113zbMath0451.34021OpenAlexW2224536239MaRDI QIDQ3897312

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Publication date: 1981

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1981642113

zbMATH Keywords

asymptotic formulaebranch points of square-root type

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Ordinary differential operators (34L99)

Related Items (15)

Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices ⋮ Laplace-transform analytic-element method for transient porous medium flow ⋮ Exact and avoided crossings of adiabatic hyperspherical potential curves ⋮ Location and structure of the nearest singularity of a perturbation series ⋮ The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D Euclidean motion group ⋮ On the non-self-adjoint and multiscale character of passive scalar mixing under laminar advection ⋮ TRIANGULAR REPRESENTATION OF THE JOST-TYPE SOLUTION TO THE PERTURBED MODIFIED MATHIEU EQUATION ⋮ Mathieu functions for purely imaginary parameters ⋮ Computation and Applications of Mathieu Functions: A Historical Perspective ⋮ One-dimensional quasi-exactly solvable Schrödinger equations ⋮ On the Growth of Convergence Radii for the Eigenvalues of the Mathieu Equation ⋮ Singular points from Taylor series ⋮ Simple and double eigenvalues of the Hill operator with a two-term potential ⋮ On the double points of a Mathieu equation ⋮ The Eigenvalues of the Angular Spheroidal Wave Equation

Cites Work

• Deducing the Properties of Singularities of Functions from their Taylor Series Coefficients
• Instability intervals of Hill's equation
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