casinh(3) Library Functions Manual casinh(3)

casinh, casinhf, casinhl - complex arc sine hyperbolic

Math library (libm, -lm)

#include <complex.h>
double complex casinh(double complex z);
float complex casinhf(float complex z);
long double complex casinhl(long double complex z);

These functions calculate the complex arc hyperbolic sine of z. If y = casinh(z), then z = csinh(y). The imaginary part of y is chosen in the interval [-pi/2,pi/2].

One has:

casinh(z) = clog(z + csqrt(z * z + 1))

For an explanation of the terms used in this section, see attributes(7).

Interface Attribute Value
casinh (), casinhf (), casinhl () Thread safety MT-Safe

C11, POSIX.1-2008.

glibc 2.1. C99, POSIX.1-2001.

asinh(3), cabs(3), cimag(3), csinh(3), complex(7)

2024-05-02 Linux man-pages 6.8