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4
Elementary Functions
Hyperbolic Functions
4.37
Inverse Hyperbolic Functions
4.37
Inverse Hyperbolic Functions
4.38
Inverse Hyperbolic Functions: Further Properties
Figure 4.37.1
(See
in context
.)
(i)
arcsinh
z
(ii)
arccosh
z
(iii)
arctanh
z
(iv)
arccsch
z
(v)
arcsech
z
(vi)
arccoth
z
Figure 4.37.1:
z
-plane. Branch cuts for the inverse hyperbolic functions.
ⓘ
Annotations:
Symbols:
arccsch
z
: inverse hyperbolic cosecant function
,
arccosh
z
: inverse hyperbolic cosine function
,
arccoth
z
: inverse hyperbolic cotangent function
,
arcsech
z
: inverse hyperbolic secant function
,
arcsinh
z
: inverse hyperbolic sine function
,
arctanh
z
: inverse hyperbolic tangent function
and
z
: complex variable
Keywords:
branch cuts
,
inverse hyperbolic functions
Permalink:
http://dlmf.nist.gov/4.37.F1.mag
Encodings:
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,
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,
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,
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,
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,
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,
pdf
,
pdf
,
pdf
,
pdf
,
pdf
,
pdf
See also:
Annotations for
§4.37
and
Ch.4