variation of real or complex functions
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11: 4.29 Graphics
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§4.29(ii) Complex Arguments
… ►The surfaces for the complex hyperbolic and inverse hyperbolic functions are similar to the surfaces depicted in §4.15(iii) for the trigonometric and inverse trigonometric functions. …12: About Color Map
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►Surface visualizations in the DLMF represent functions of the form by the height or the magnitude, , for complex functions, over the plane.
We use color to augment these vizualizations, either to reinforce the recognition of the height, or to convey an extra dimension to represent the phase of complex valued functions.
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►By painting the surfaces with a color that encodes the phase, , both the magnitude and phase of complex valued functions can be displayed.
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13: 8.5 Confluent Hypergeometric Representations
14: 10.13 Other Differential Equations
15: 4.15 Graphics
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§4.15(iii) Complex Arguments: Surfaces
… ►The corresponding surfaces for , , can be visualized from Figures 4.15.9, 4.15.11, 4.15.13 with the aid of equations (4.23.16)–(4.23.18).16: 22.7 Landen Transformations
17: 20.12 Mathematical Applications
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