Integral hyperbolic cosine
From Encyclopedia of Mathematics
The special function defined, for real 
, by
 |
where 
is the Euler constant and 
is the integral cosine. The integral hyperbolic cosine can be represented by the series
 |
Sometimes it is denoted by 
.
For references, see Integral cosine.
Comments
This function, which is seldom used because of its relation with the cosine integral, is also called the hyperbolic cosine integral. It can, of course be defined (as above) for 
.
One has 
, where 
is the integral hyperbolic sine and 
is the integral logarithm.
How to Cite This Entry:
Integral hyperbolic cosine. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Integral_hyperbolic_cosine&oldid=32997
Integral hyperbolic cosine. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Integral_hyperbolic_cosine&oldid=32997
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article