Integral hyperbolic sine
The special function defined, for real , by
where is the integral sine. The integral hyperbolic sine can be represented by the series
It is related to the integral hyperbolic cosine by
where is the integral logarithm.
Sometimes it is denoted by .
For references see Integral cosine.
This function, which is seldom used because of its relation with the sine integral, is also called the hyperbolic sine integral. It can, of course, be defined (as above) for .
Integral hyperbolic sine. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Integral_hyperbolic_sine&oldid=11472