conical functions

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11: 14.34 Software

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§14.34(iv) Conical (Mehler) and/or Toroidal Functions

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12: Software Index

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	Open Source													With Book						Commercial
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14.34(iv) ${𝖯}_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$, ${𝖰}_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$, ${\widehat{𝖰}}_{-\frac{1}{2}+\mathrm{i}\tau }^{\mu }\left(x\right)$, $P_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$, $Q_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$					✓									✓			✓
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►‘✓’ indicates that a software package implements the functions in a section; ‘a’ indicates available functionality through optional or add-on packages; an empty space indicates no known support. … ►In the list below we identify four main sources of software for computing special functions. … ►

Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.

… ►The following are web-based software repositories with significant holdings in the area of special functions. …