Mathieu functions for purely imaginary parameters

DOI10.1016/j.cam.2012.04.023zbMath1247.33035OpenAlexW2093931887MaRDI QIDQ442744

J. Herrera, H. S. Yoon

Publication date: 3 August 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.04.023

zbMATH Keywords

numerical computationMathieu functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical approximation and evaluation of special functions (33F05)

Related Items (10)

Discrete spectra for some complex infinite band matrices ⋮ Field theory of free run and tumble particles in d dimensions ⋮ On the non-self-adjoint and multiscale character of passive scalar mixing under laminar advection ⋮ A variational modification of the Harmonic Balance method to obtain approximate Floquet exponents ⋮ An analytical method for Mathieu oscillator based on method of variation of parameter ⋮ Neumann-Weber integral transform for complex indices ⋮ Periodic analytic approximate solutions for the Mathieu equation ⋮ Computation and Applications of Mathieu Functions: A Historical Perspective ⋮ Mathieu functions for fermions generated in magnetar’s corona ⋮ ON THE MATHIEU EQUATION DESCRIBING ULTRA-RELATIVISTIC FERMIONS EVOLVING IN A TIME-HARMONIC ELECTRIC FIELD PARALLEL TO A STATIC MAGNETIC INDUCTION

Uses Software

• Mathematica
• DLMF

Cites Work

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• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• Quadratic growth of convergence radii for eigenvalues of two-parameter Sturm-Liouville equations
• The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application
• On the Growth of Convergence Radii for the Eigenvalues of the Mathieu Equation
• The Eigenvalues of Mathieu's Equation and their Branch Points

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