csinh(3) BSD Library Functions Manual csinh(3)
NAME
csinh -- complex hyperbolic sine function
SYNOPSIS
#include <complex.h>
double complex
csinh(double complex z);
long double complex
csinhl(long double complex z);
float complex
csinhf(float complex z);
DESCRIPTION
csin(z) computes the hyperbolic sine of the complex floating-point number
z.
For all complex floating point numbers z,
csinh(conj(z)) = conj(csinh(z)),
csinh(-z) = -csinh(z).
SPECIAL VALUES
The symmetries of csinh() are used to abbreviate the specification of
special values.
csinh(0 + 0i) returns 0 + 0i.
csinh(0 + inf i) returns 0 + NaN i, and raises the invalid flag.
csinh(0 + NaN i) returns 0 + NaN i.
csinh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for
finite nonzero x.
csinh(x + NaN i) returns NaN + NaN i, for finite nonzero x.
csinh(inf + 0i) returns inf + 0i.
csinh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y)
= cos(y) + i*sin(y).
csinh(inf + inf i) returns inf + NaN i, and raises the invalid flag.
csinh(inf + NaN i) returns inf + NaN i.
csinh(NaN + 0i) returns NaN + 0i.
csinh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.
csinh(NaN + NaN i) returns NaN + NaN i.
NOTES
SEE ALSO
csin(3) complex(3)
STANDARDS
The csinh() function conforms to ISO/IEC 9899:2011.
4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution
Mac OS X 10.9.1 - Generated Tue Jan 7 08:41:23 CST 2014