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DLMF:4.28.E3
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Formula:2161
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MaRDI QID
Q2161
Label: DLMF:4.28.E3
Digital Library of Mathematical Functions ID
4.28.E3
cosh
z
±
sinh
z
=
e
±
z
,
plus-or-minus
𝑧
𝑧
superscript
𝑒
plus-or-minus
𝑧
{\displaystyle{\displaystyle\cosh z\pm\sinh z=e^{\pm z},}}
Constraint(s)
Symbols List
e
{\displaystyle{\displaystyle\mathrm{e}}}
: base of natural logarithm
cosh
z
𝑧
{\displaystyle{\displaystyle\cosh\NVar{z}}}
: hyperbolic cosine function
sinh
z
𝑧
{\displaystyle{\displaystyle\sinh\NVar{z}}}
: hyperbolic sine function
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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