Corpus ID: 220969117

# Computation and applications of Mathieu functions: A historical perspective

@article{Brimacombe2020ComputationAA,
title={Computation and applications of Mathieu functions: A historical perspective},
author={C. Brimacombe and Robert M Corless and M. Zamir},
journal={arXiv: Mathematical Physics},
year={2020}
}
• Published 2020
• Mathematics, Physics
• arXiv: Mathematical Physics
Mathieu functions of period $\pi$ or $2\pi$, also called elliptic cylinder functions, were introduced in 1868 by Emile Mathieu together with so-called modified Mathieu functions, in order to help understand the vibrations of an elastic membrane set in a fixed elliptical hoop. These functions still occur frequently in applications today: our interest, for instance, was stimulated by a problem of pulsatile blood flow in a blood vessel compressed into an elliptical cross-section. This paper… Expand

#### References

SHOWING 1-10 OF 105 REFERENCES
Mathieu functions
• Springer
• 1980
The double points of Mathieus differential equation
• Mathematics of Computation, 23
• 1969
Dr
• EL Ince, Nature, 148
• 1941
Émile Mathieu
• his life and works, Bulletin of the American Mathematical Society, 1
• 1892