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1: 30.14 Wave Equation in Oblate Spheroidal Coordinates
§30.14 Wave Equation in Oblate Spheroidal Coordinates
§30.14(i) Oblate Spheroidal Coordinates
§30.14(ii) Metric Coefficients
§30.14(iii) Laplacian
2: 30.1 Special Notation
3: 30.2 Differential Equations
In applications involving prolate spheroidal coordinates γ 2 is positive, in applications involving oblate spheroidal coordinates γ 2 is negative; see §§30.13, 30.14. …
4: Bibliography H
  • M. H. Halley, D. Delande, and K. T. Taylor (1993) The combination of R -matrix and complex coordinate methods: Application to the diamagnetic Rydberg spectra of Ba and Sr. J. Phys. B 26 (12), pp. 1775–1790.
  • S. Hanish, R. V. Baier, A. L. Van Buren, and B. J. King (1970) Tables of Radial Spheroidal Wave Functions, Vols. 1-3, Prolate, m = 0 , 1 , 2 ; Vols. 4-6, Oblate, m = 0 , 1 , 2 . Technical report Naval Research Laboratory, Washington, D.C..
  • C. Hunter and B. Guerrieri (1982) The eigenvalues of the angular spheroidal wave equation. Stud. Appl. Math. 66 (3), pp. 217–240.