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ArcCsch

ArcCsch[z]
gives the inverse hyperbolic cosecant of the complex number .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, ArcCsch automatically evaluates to exact values.
  • ArcCsch can be evaluated to arbitrary numerical precision.
  • ArcCsch automatically threads over lists.
  • ArcCsch[z] has a branch cut discontinuity in the complex plane running from to .
Evaluate numerically:
Series expansion:
Evaluate numerically:
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Series expansion:
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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:
Parity transformations are automatically applied:
TraditionalForm formatting:
Apply ArcCsch to a power series:
ArcCsch can deal with real-valued intervals:
Branch cut structure of ArcCsch runs along the imaginary axis:
Compose with the inverse function:
Use PowerExpand to disregard multivaluedness of the ArcCsch:
Alternatively, evaluate under additional assumptions:
Use TrigToExp to express in terms of logarithm:
Integrals:
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