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1 .\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
2 .\" Distributed under GPL
3 .\"
4 .TH CASINH 3 2002-07-28 "" "complex math routines"
5 .SH NAME
6 casinh, casinhf, casinhl \- complex arc sine hyperbolic
7 .SH SYNOPSIS
8 .B #include <complex.h>
9 .sp
10 .BI "double complex casinh(double complex " z );
11 .br
12 .BI "float complex casinhf(float complex " z );
13 .br
14 .BI "long double complex casinhl(long double complex " z );
15 .sp
16 Link with \-lm.
17 .SH DESCRIPTION
18 The
19 .BR casinh ()
20 function calculates the complex asinh().
21 If y = casinh(z), then z = csinh(y).
22 The imaginary part of y is chosen in the interval [\-pi/2,pi/2].
23 .LP
24 One has casinh(z) = clog(z+csqrt(z*z+1)).
25 .SH "CONFORMING TO"
26 C99
27 .SH "SEE ALSO"
28 .BR asinh (3),
29 .BR cabs (3),
30 .BR cimag (3),
31 .BR complex (7)