radial spheroidal wave functions

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11: 30.18 Software

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SWF1: ${\lambda }_n^m\left({\gamma }^2\right)$.

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SWF2: ${\mathrm{𝖯𝗌}}_n^m(x,{\gamma }^2)$.

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SWF3: ${\mathrm{𝖰𝗌}}_n^m(x,{\gamma }^2)$.

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SWF4: $S_n^{m(j)}(z,\gamma )$, $j=1,2$.

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§30.18(iii) Spheroidal Wave Functions

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12: Bibliography K

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A Fortran computer program for calculating the prolate spheroidal radial functions of the first and second kind and their first derivatives. NRL Report No. 7012 Naval Res. Lab.  Washingtion, D.C..

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Referenced by:

§30.18(iii).

Encodings:

BibTeX

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A general addition theorem for spheroidal wave functions. SIAM J. Math. Anal. 4 (1), pp. 149–160.

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External Links:

Document, MathReview (J. Meixner), ZentralBlatt

Referenced by:

§30.10.

Encodings:

BibTeX

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Electromagnetic eigenfrequencies in a spheroidal cavity (calculation by spheroidal eigenvectors). J. Electromagn. Waves Appl. 12 (12), pp. 1601–1624.

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External Links:

ISSN 0920-5071, Document, MathReview, ZentralBlatt

Referenced by:

§30.14(v).

Encodings:

BibTeX

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Sferoidalnye i kulonovskie sferoidalnye funktsii. Izdat. “Nauka”, Moscow (Russian).

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Notes:

Translated title: Spheroidal and Coulomb Spheroidal Functions

External Links:

MathReview

Referenced by:

§30.12, Ch.30, §31.13.

Encodings:

BibTeX

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Two new asymptotic methods in the theory of wave propagation in inhomogeneous media. Sov. Phys. Acoust. 14, pp. 1–17.

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External Links:

ISSN 0038-562X

Referenced by:

§36.14(iv).

Encodings:

BibTeX

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13: Bibliography L

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New method to obtain small parameter power series expansions of Mathieu radial and angular functions. Math. Comp. 78 (265), pp. 255–274.

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External Links:

ISSN 0025-5718, Document, FullText, MathReview (Junesang Choi), ZentralBlatt

Referenced by:

§28.24, §28.24.

Encodings:

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Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics. J. Math. Phys. 27 (5), pp. 1238–1265.

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External Links:

ISSN 0022-2488, Document, MathReview (Basilis C. Xanthopoulos), ZentralBlatt

Referenced by:

§30.12, §31.17(ii).

Encodings:

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Computations of spheroidal harmonics with complex arguments: A review with an algorithm. Phys. Rev. E 58 (5), pp. 6792–6806.

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Notes:

Mathematica package for eigenvalues and solutions of the spheroidal wave equations

External Links:

Code(SpheroidF), Document

Referenced by:

2nd item, 3rd item.

Encodings:

BibTeX

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Microwave specific attenuation by oblate spheroidal raindrops: An exact analysis of TCS’s in terms of spheroidal wave functions. J. Electromagn. Waves Appl. 12 (6), pp. 709–711.

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External Links:

ISSN 0920-5071, Document, MathReview

Referenced by:

§30.14(v).

Encodings:

BibTeX

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Deep water ship-waves. Phil. Mag. 9, pp. 733–757.

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External Links:

ZentralBlatt

Referenced by:

§36.13.

Encodings:

BibTeX

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