Decomposition of complex area and arc functions (Q2785506)
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scientific article; zbMATH DE number 981411
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of complex area and arc functions |
scientific article; zbMATH DE number 981411 |
Statements
24 February 1997
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exponential functions
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area functions
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arc functions
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addition theorems
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decomposition
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trigonometric functions
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Decomposition of complex area and arc functions (English)
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This is a collection of formulas for the decomposition of inverse hyperbolic and inverse trigonometric functions \(f\) into their real and imaginary parts, i.e. formulas for \(u,v\) in \(f(z)= u(x,y)+ iv(x,y)\) where \(z=x+iy\). Such formulas may be useful to reduce complex (numerical) computations to only real ones. Beyond that, addition formulas for most of the above functions are given.
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