powers
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1: 4.2 Definitions
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§4.2(iv) Powers
►Powers with General Bases
►The general power of is defined by …The principal value is … …2: 12.18 Methods of Computation
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►These include the use of power-series expansions, recursion, integral representations, differential equations, asymptotic expansions, and expansions in series of Bessel functions.
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3: 6.6 Power Series
§6.6 Power Series
…4: 16.25 Methods of Computation
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►Methods for computing the functions of the present chapter include power series, asymptotic expansions, integral representations, differential equations, and recurrence relations.
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5: 14.32 Methods of Computation
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►In particular, for small or moderate values of the parameters and the power-series expansions of the various hypergeometric function representations given in §§14.3(i)–14.3(iii), 14.19(ii), and 14.20(i) can be selected in such a way that convergence is stable, and reasonably rapid, especially when the argument of the functions is real.
In other cases recurrence relations (§14.10) provide a powerful method when applied in a stable direction (§3.6); see Olver and Smith (1983) and Gautschi (1967).
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6: 24.20 Tables
§24.20 Tables
…7: 27.20 Methods of Computation: Other Number-Theoretic Functions
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►To calculate a multiplicative function it suffices to determine its values at the prime powers and then use (27.3.2).
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8: 28.15 Expansions for Small
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