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ArcSech

ArcSech[z]
gives the inverse hyperbolic secant of the complex number .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, ArcSech automatically evaluates to exact values.
  • ArcSech can be evaluated to arbitrary numerical precision.
  • ArcSech automatically threads over lists.
  • ArcSech[z] has branch cut discontinuities in the complex plane running from to and to .
Evaluate numerically:
Series expansions:
Evaluate numerically:
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Series expansions:
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Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact results are generated automatically:
TraditionalForm formatting:
Apply ArcSech to a power series:
ArcSech can deal with real-valued intervals:
Branch cut line runs along the real axis:
Compose with inverse functions:
Use PowerExpand to disregard multivaluedness of the ArcSech:
Alternatively, evaluate under additional assumptions:
Use TrigToExp to express in terms of logarithm:
Integrals:
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