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 GNU Scientific Library Reference Manual - Third Edition (v1.12) by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. RossiPaperback (6"x9"), 592 pages, 60 figuresISBN 0954612078RRP £24.95 (\$39.95)

## 5.7 Complex Hyperbolic Functions

Function: gsl_complex gsl_complex_sinh (gsl_complex z)
This function returns the complex hyperbolic sine of the complex number z, \sinh(z) = (\exp(z) - \exp(-z))/2.
Function: gsl_complex gsl_complex_cosh (gsl_complex z)
This function returns the complex hyperbolic cosine of the complex number z, \cosh(z) = (\exp(z) + \exp(-z))/2.
Function: gsl_complex gsl_complex_tanh (gsl_complex z)
This function returns the complex hyperbolic tangent of the complex number z, \tanh(z) = \sinh(z)/\cosh(z).
Function: gsl_complex gsl_complex_sech (gsl_complex z)
This function returns the complex hyperbolic secant of the complex number z, \sech(z) = 1/\cosh(z).
Function: gsl_complex gsl_complex_csch (gsl_complex z)
This function returns the complex hyperbolic cosecant of the complex number z, \csch(z) = 1/\sinh(z).
Function: gsl_complex gsl_complex_coth (gsl_complex z)
This function returns the complex hyperbolic cotangent of the complex number z, \coth(z) = 1/\tanh(z).
 ISBN 0954612078 GNU Scientific Library Reference Manual - Third Edition (v1.12) See the print edition