Difference between revisions of "Cosh"
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sinh|next=Tanh}}: 4.5.2 | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sinh|next=Tanh}}: 4.5.2 | ||
| − | + | {{:Hyperbolic trigonometric functions footer}} | |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 03:40, 6 July 2016
The hyperbolic cosine function $\cosh \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by
$$\mathrm{cosh}(z)=\dfrac{e^z + e^{-z}}{2}$$
Graph of $\cosh$.
Domain coloring of analytic continuation of $\cosh$.
Properties
Derivative of cosh
Pythagorean identity for sinh and cosh
Weierstrass factorization of cosh
Relationship between cosh and hypergeometric 0F1
Relationship between Bessel I sub 1/2 and cosh
Relationship between cosh and cos
Relationship between cos and cosh
Relationship between secant, Gudermannian, and cosh
Relationship between cosh, inverse Gudermannian, and sec
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.5.2
