# 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} }

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

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