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5 Complex Numbers
*****************

The functions described in this chapter provide support for complex
numbers.  The algorithms take care to avoid unnecessary intermediate
underflows and overflows, allowing the functions to be evaluated over as
much of the complex plane as possible.

For multiple-valued functions the branch cuts have been chosen to follow
the conventions of Abramowitz and Stegun.  The functions return
principal values which are the same as those in GNU Calc, which in turn
are the same as those in “Common Lisp, The Language (Second Edition)”
(1) and the HP-28/48 series of calculators.

The complex types are defined in the header file ‘gsl_complex.h’, while
the corresponding complex functions and arithmetic operations are
defined in ‘gsl_complex_math.h’.

* Representation of complex numbers
* Properties of complex numbers
* Complex arithmetic operators
* Elementary Complex Functions
* Complex Trigonometric Functions
* Inverse Complex Trigonometric Functions
* Complex Hyperbolic Functions
* Inverse Complex Hyperbolic Functions
* References and Further Reading
   ---------- Footnotes ----------

   (1) Note that the first edition uses different definitions.


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