principal branches
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11—20 of 178 matching pages
11: 6.14 Integrals
12: 10.2 Definitions
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§10.2(ii) Standard Solutions
… ►The principal branch corresponds to the principal branches of in (10.2.3) and (10.2.4), with a cut in the -plane along the interval . … ►The principal branches correspond to principal values of the square roots in (10.2.5) and (10.2.6), again with a cut in the -plane along the interval . … ► … ►13: 4.3 Graphics
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►Figure 4.3.2 illustrates the conformal mapping of the strip onto the whole -plane cut along the negative real axis, where and (principal value).
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14: 2.2 Transcendental Equations
15: 4.12 Generalized Logarithms and Exponentials
16: 27.11 Asymptotic Formulas: Partial Sums
17: 27.12 Asymptotic Formulas: Primes
18: 4.4 Special Values and Limits
19: 4.40 Integrals
20: 4.37 Inverse Hyperbolic Functions
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►The principal values (or principal branches) of the inverse , , and are obtained by introducing cuts in the -plane as indicated in Figure 4.37.1(i)-(iii), and requiring the integration paths in (4.37.1)–(4.37.3) not to cross these cuts.
…The principal branches are denoted by , , respectively.
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4.37.19
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4.37.20
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4.37.22
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