Computation and Applications of Mathieu Functions: A Historical Perspective

DOI10.1137/20M135786XzbMath1479.33014arXiv2008.01812OpenAlexW3208765526MaRDI QIDQ5162640

Chris Brimacombe, Mair Zamir, Robert M. Corless

Publication date: 5 November 2021

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01812

zbMATH Keywords

historical surveyPuiseux seriesMathieu functionsdouble eigenvaluesmodified Mathieu functionscomputation of Mathieu 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) History of special functions (33-03)

Related Items

Blendstrings: an environment for computing with smooth functions ⋮ On the non-self-adjoint and multiscale character of passive scalar mixing under laminar advection ⋮ Quantum Bianchi-VII problem, Mathieu functions and arithmetic

Uses Software

• gfun
• Maple
• Mathematica
• Matlab
• Chebfun
• NumGfun
• Algorithm 934

Cites Work

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