CSINH(3)                 BSD Library Functions Manual                 CSINH(3)

NAME
     csinh -- complex hyperbolic sine function

SYNOPSIS
     ##include <>

     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 9899:1999(E).

4th Berkeley Distribution      November 9, 2006      4th Berkeley Distribution