generalized logarithms
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1: 4.44 Other Applications
§4.44 Other Applications
… ►For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). …2: 4.12 Generalized Logarithms and Exponentials
§4.12 Generalized Logarithms and Exponentials
►A generalized exponential function satisfies the equations …Its inverse is called a generalized logarithm. … ►For generalized logarithms, see Walker (1991). For analytic generalized logarithms, see Kneser (1950).3: 5.10 Continued Fractions
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5.10.1
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4: 4.2 Definitions
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§4.2(i) The Logarithm
►The general logarithm function is defined by ►
4.2.1
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►With this definition the general logarithm is given by
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§4.2(ii) Logarithms to a General Base
…5: 4.8 Identities
6: 4.7 Derivatives and Differential Equations
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4.7.2
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4.7.4
►For a nonvanishing analytic function , the general solution of the differential equation
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4.7.6
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►When is a general power, is replaced by the branch of used in constructing .
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7: 5.17 Barnes’ -Function (Double Gamma Function)
8: 5.9 Integral Representations
9: 6.4 Analytic Continuation
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6.4.1
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10: 3.1 Arithmetics and Error Measures
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►To eliminate overflow or underflow in finite-precision arithmetic numbers are represented by using generalized logarithms
given by
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