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The functions in this section are related to the exponential functions; see Exponents and Logarithms.
These functions return the hyperbolic sine of x, defined
mathematically as (exp (x) - exp (-x)) / 2
. They
may signal overflow if x is too large.
These function return the hyperbolic cosine of x,
defined mathematically as (exp (x) + exp (-x)) / 2
.
They may signal overflow if x is too large.
These functions return the hyperbolic tangent of x,
defined mathematically as sinh (x) / cosh (x)
.
They may signal overflow if x is too large.
There are counterparts for the hyperbolic functions which take complex arguments.
These functions return the complex hyperbolic sine of z, defined
mathematically as (exp (z) - exp (-z)) / 2
.
These functions return the complex hyperbolic cosine of z, defined
mathematically as (exp (z) + exp (-z)) / 2
.
These functions return the complex hyperbolic tangent of z,
defined mathematically as csinh (z) / ccosh (z)
.
These functions return the inverse hyperbolic sine of x—the value whose hyperbolic sine is x.
These functions return the inverse hyperbolic cosine of x—the
value whose hyperbolic cosine is x. If x is less than
1
, acosh
signals a domain error.
These functions return the inverse hyperbolic tangent of x—the
value whose hyperbolic tangent is x. If the absolute value of
x is greater than 1
, atanh
signals a domain error;
if it is equal to 1, atanh
returns infinity.
These functions return the inverse complex hyperbolic sine of z—the value whose complex hyperbolic sine is z.
These functions return the inverse complex hyperbolic cosine of z—the value whose complex hyperbolic cosine is z. Unlike the real-valued functions, there are no restrictions on the value of z.
These functions return the inverse complex hyperbolic tangent of z—the value whose complex hyperbolic tangent is z. Unlike the real-valued functions, there are no restrictions on the value of z.
Next: Special Functions, Previous: Exponents and Logarithms, Up: Mathematics [Contents][Index]