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DLMF:4.35.E19
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Formula:2267
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MaRDI QID
Q2267
Label: DLMF:4.35.E19
Digital Library of Mathematical Functions ID
4.35.E19
sinh
2
u
+
cosh
2
v
=
cosh
(
u
+
v
)
cosh
(
u
-
v
)
.
2
𝑢
2
𝑣
𝑢
𝑣
𝑢
𝑣
{\displaystyle{\displaystyle{\sinh^{2}}u+{\cosh^{2}}v=\cosh\left(u+v\right)% \cosh\left(u-v\right).}}
Constraint(s)
Symbols List
cosh
z
𝑧
{\displaystyle{\displaystyle\cosh\NVar{z}}}
: hyperbolic cosine function
sinh
z
𝑧
{\displaystyle{\displaystyle\sinh\NVar{z}}}
: hyperbolic sine function
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