prolate spheroidal coordinates
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5 matching pages
1: 30.13 Wave Equation in Prolate Spheroidal Coordinates
§30.13 Wave Equation in Prolate Spheroidal Coordinates
►§30.13(i) Prolate Spheroidal Coordinates
… ►§30.13(ii) Metric Coefficients
… ►§30.13(iii) Laplacian
… ►2: 30.1 Special Notation
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3: 30.2 Differential Equations
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►In applications involving prolate spheroidal coordinates
is positive, in applications involving oblate spheroidal coordinates
is negative; see §§30.13, 30.14.
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4: Bibliography H
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The combination of -matrix and complex coordinate methods: Application to the diamagnetic Rydberg spectra of Ba and Sr.
J. Phys. B 26 (12), pp. 1775–1790.
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Tables of Radial Spheroidal Wave Functions, Vols. 1-3, Prolate, ; Vols. 4-6, Oblate,
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Technical report
Naval Research Laboratory, Washington, D.C..
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The eigenvalues of the angular spheroidal wave equation.
Stud. Appl. Math. 66 (3), pp. 217–240.
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5: Bibliography M
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Catastrophe optics of spheroidal drops and generalized rainbows.
J. Quantit. Spec. and Rad. Trans. 63, pp. 341–351.
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Asymptotic approximations for prolate spheroidal wave functions.
Studies in Appl. Math. 54 (4), pp. 315–349.
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Lie theory and separation of variables. I: Parabolic cylinder coordinates.
SIAM J. Math. Anal. 5 (4), pp. 626–643.
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Field Theory Handbook. Including Coordinate Systems, Differential Equations and Their Solutions.
2nd edition, Springer-Verlag, Berlin.
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Asymptotic expansions of prolate spheroidal wave functions and their characteristic numbers.
J. Reine Angew. Math. 212, pp. 26–48.
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