elementary functions
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21—30 of 92 matching pages
21: Notices
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Master Software Index
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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.
22: 13.18 Relations to Other Functions
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§13.18(i) Elementary Functions
…23: 6.20 Approximations
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§6.20(i) Approximations in Terms of Elementary Functions
…24: 18.24 Hahn Class: Asymptotic Approximations
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►In particular, asymptotic formulas in terms of elementary functions are given when is real and fixed.
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►Dunster (2001b) provides various asymptotic expansions for as , in terms of elementary functions or in terms of Bessel functions.
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25: 14.31 Other Applications
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§14.31(ii) Conical Functions
… ►These functions are also used in the Mehler–Fock integral transform (§14.20(vi)) for problems in potential and heat theory, and in elementary particle physics (Sneddon (1972, Chapter 7) and Braaksma and Meulenbeld (1967)). …26: 13.6 Relations to Other Functions
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§13.6(i) Elementary Functions
…27: 15.4 Special Cases
28: Frank W. J. Olver
29: 18.32 OP’s with Respect to Freud Weights
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►However, for asymptotic approximations in terms of elementary functions for the OP’s, and also for their largest zeros, see Levin and Lubinsky (2001) and Nevai (1986).
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30: 30.4 Functions of the First Kind
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