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1: 4.8 Identities
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4.8.1
►This is interpreted that every value of is one of the values of , and vice versa.
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4.8.3
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4.8.10
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►where the integer is chosen so that .
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2: 4.10 Integrals
3: 4.12 Generalized Logarithms and Exponentials
4: 5.10 Continued Fractions
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5.10.1
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5: 4.5 Inequalities
6: 4.2 Definitions
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►The general logarithm function
is defined by
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►The real and imaginary parts of are given by
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►The only zero of is at .
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►Consequently is two-valued on the cut, and discontinuous across the cut.
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►Natural logarithms have as base the unique positive number
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7: 6.8 Inequalities
8: 6.15 Sums
9: 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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