Concepedia

Asymptotic Expansions of Ellipsoidal Wave Functions and their Characteristic Numbers

H. J. W. Müller

Mathematische Nachrichten · 1966 · 26 citations · 8 references

DOI

Concepts

Abstract

Abstract It is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for the characteristic numbers is also obtained.

References

8

VII—Further Investigations into the Periodic Lamé Functions

E. L. Ince · Proceedings of the Royal Society of Edinburgh · 1940 · 121 citations

, , +10

V.—The Periodic Lamé Functions

E. L. Ince · Proceedings of the Royal Society of Edinburgh · 1940 · 102 citations

, , +7

On Lamé's Differential Equation and Ellipsoidal Harmonics

E. T. Whittaker · Proceedings of the London Mathematical Society · 1915 · 22 citations · Full text

, , +12

Asymtotic Expansions of Oblate Spheroidal Wave Functions and their Characteristic Numbers.

H. J. W. Müller · Journal für die reine und angewandte Mathematik (Crelles Journal) · 1962 · 14 citations

, , +9

A New Treatment of the Ellipsoidal Wave Equation

F. M. Arscott · Proceedings of the London Mathematical Society · 1959 · 14 citations

, , +11