Difference between revisions of "Cosh"
From specialfunctionswiki
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[[Relationship between cosh, inverse Gudermannian, and sec]]<br /> | [[Relationship between cosh, inverse Gudermannian, and sec]]<br /> | ||
[[Period of cosh]]<br /> | [[Period of cosh]]<br /> | ||
| + | [[Sum of cosh and sinh]]<br /> | ||
=See Also= | =See Also= | ||
Revision as of 23:36, 21 October 2017
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
Period of cosh
Sum of cosh and sinh
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.5.2$
