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1: Bibliography V

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Calculation of spheroidal wave functions. J. Acoust. Soc. Amer. 51, pp. 414–416.

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External Links:

Document, ZentralBlatt

Referenced by:

§30.16(ii), §30.18(iii).

Encodings:

BibTeX

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Accurate calculation of the modified Mathieu functions of integer order. Quart. Appl. Math. 65 (1), pp. 1–23.

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Notes:

For software, see Van Buren (website)

External Links:

ISSN 0033-569X, MathReview (Javier Segura), ZentralBlatt

Referenced by:

§28.36(iii).

Encodings:

BibTeX

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Mathieu and Spheroidal Wave Functions: Fortran Programs for their Accurate Calculation

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External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index, § ‣ Software Cross Index, A. L. Van Buren and J. E. Boisvert (2002), A. L. Van Buren and J. E. Boisvert (2004), A. L. Van Buren and J. E. Boisvert (2007).

Encodings:

BibTeX

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Light Scattering by Small Particles. John Wiley and Sons. Inc., New York.

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External Links:

MathReview (P. M. Morse)

Referenced by:

§9.16.

Encodings:

BibTeX

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Multiple Light Scattering. Vol. 1, Academic Press, New York.

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Referenced by:

§6.17.

Encodings:

BibTeX

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2: 6.17 Physical Applications

… ►For applications in astrophysics, see also van de Hulst (1980). …

3: 30.18 Software

… ►See also King et al. (1970), King and Van Buren (1970), Van Buren et al. (1970), and Van Buren et al. (1972).

4: 5.21 Methods of Computation

… ►For a comprehensive survey see van der Laan and Temme (1984, Chapter III). …

5: 30.10 Series and Integrals

… ►For an addition theorem, see Meixner and Schäfke (1954, p. 300) and King and Van Buren (1973). …

6: Tom H. Koornwinder

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7: 5.10 Continued Fractions

… ►Also see Cuyt et al. (2008, pp. 223–228), Jones and Thron (1980, pp. 348–350), Lorentzen and Waadeland (1992, pp. 221–224), and Jones and Van Assche (1998).

8: 19.35 Other Applications

… ►Generalizations of elliptic integrals appear in analysis of modular theorems of Ramanujan (Anderson et al. (2000)); analysis of Selberg integrals (Van Diejen and Spiridonov (2001)); use of Legendre’s relation (19.7.1) to compute $\pi$ to high precision (Borwein and Borwein (1987, p. 26)). …

9: 21.10 Methods of Computation

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Deconinck and van Hoeij (2001). Here a plane algebraic curve representation of the Riemann surface is used.

10: 28.36 Software

… ►See also Clemm (1969), Delft Numerical Analysis Group (1973), Rengarajan and Lewis (1980), Van Buren and Boisvert (2007), and Ziener et al. (2012).