logarithm function
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11: 6.15 Sums
12: 4.6 Power Series
13: 4.7 Derivatives and Differential Equations
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§4.7(i) Logarithms
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4.7.1
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4.7.2
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►For a nonvanishing analytic function
, the general solution of the differential equation
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4.7.6
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14: 4.12 Generalized Logarithms and Exponentials
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►A generalized exponential function
satisfies the equations
…It, too, is strictly increasing when , and
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4.12.6
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4.12.9
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►For generalized logarithms, see Walker (1991).
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15: 4.5 Inequalities
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§4.5(i) Logarithms
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4.5.2
, ,
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4.5.4
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4.5.5
, ,
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►For more inequalities involving the logarithm function see Mitrinović (1964, pp. 75–77), Mitrinović (1970, pp. 272–276), and Bullen (1998, pp. 159–160).
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16: 4.4 Special Values and Limits
17: 6.6 Power Series
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6.6.1
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6.6.2
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6.6.3
►where denotes the logarithmic derivative of the gamma function (§5.2(i)).
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6.6.6
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