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1: Notices

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In association with the DLMF we will provide an index of all software for the computation of special functions covered by the DLMF. It is our intention that this will become an exhaustive list of sources of software for special functions. In each case we will maintain a single link where readers can obtain more information about the listed software. We welcome requests from software authors (or distributors) for new items to list.

Note that here we will only include software with capabilities that go beyond the computation of elementary functions in standard precisions since such software is nearly universal in scientific computing environments.

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2: DLMF Project News

error generating summary

3: 4.1 Special Notation

… ►The main functions treated in this chapter are the logarithm $\ln z$, $\mathrm{Ln}z$; the exponential $\exp z$, ${\mathrm{e}}^z$; the circular trigonometric (or just trigonometric) functions $\sin z$, $\cos z$, $\tan z$, $\csc z$, $\sec z$, $\cot z$; the inverse trigonometric functions $\arcsin z$, $\mathrm{Arcsin}z$, etc. ; the hyperbolic trigonometric (or just hyperbolic) functions $\sinh z$, $\cosh z$, $\tanh z$, $\mathrm{csch}z$, $\mathrm{sech}z$, $\coth z$; the inverse hyperbolic functions $\mathrm{arcsinh}z$, $\mathrm{Arcsinh}z$, etc. …

4: 10.8 Power Series

… ►Note that (10.8.3) is just a rewriting of (16.12.1).

5: 36.7 Zeros

… ►Just outside the cusp, that is, for $x^2>8{|y|}^3/27$, there is a single row of zeros on each side. …

6: 10.29 Recurrence Relations and Derivatives

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7: 31.11 Expansions in Series of Hypergeometric Functions

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8: Guide to Searching the DLMF

… ►DLMF search recognizes just the essential font differences, that is, the font style differences deemed important for the DLMF contents: …

9: 11.11 Asymptotic Expansions of Anger–Weber Functions

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10: 25.14 Lerch’s Transcendent

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