# power

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## 1—10 of 138 matching pages

##### 1: 4.2 Definitions

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###### §4.2(iv) Powers

►###### Powers with General Bases

►The general ${a}^{\mathrm{th}}$ power of $z$ 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 $\mu $ and $\nu $ 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 $q$

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