casinh(3)		    Library Functions Manual		       casinh(3)

NAME
     casinh, casinhf, casinhl - complex arc sine hyperbolic

LIBRARY
     Math library (libm, -lm)

SYNOPSIS
     #include <complex.h>

     double complex casinh(double complex z);
     float complex casinhf(float complex z);
     long double complex casinhl(long double complex z);

DESCRIPTION
     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))

ATTRIBUTES
     For an explanation of the terms used in this  section,  see  attributes(7).
     allbox; lbx lb lb l l l.  Interface Attribute Value T{ casinh(), casinhf(),
     casinhl() T}   Thread safety  MT-Safe

STANDARDS
     C11, POSIX.1-2008.

HISTORY
     glibc 2.1.	 C99, POSIX.1-2001.

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

Linux man-pages 6.18		   2026-02-08			       casinh(3)