### 5.3 Complex arithmetic operators

Function: gsl_complex gsl_complex_add (gsl_complex a, gsl_complex b)

  This function returns the sum of the complex numbers a and b, z=a+b.

Function: gsl_complex gsl_complex_sub (gsl_complex a, gsl_complex b)

  This function returns the difference of the complex numbers a and b, z=a-b.

Function: gsl_complex gsl_complex_mul (gsl_complex a, gsl_complex b)

  This function returns the product of the complex numbers a and b, z=ab.

Function: gsl_complex gsl_complex_div (gsl_complex a, gsl_complex b)

  This function returns the quotient of the complex numbers a and b, z=a/b.

Function: gsl_complex gsl_complex_add_real (gsl_complex a, double x)

  This function returns the sum of the complex number a and the real number x, z=a+x.

Function: gsl_complex gsl_complex_sub_real (gsl_complex a, double x)

  This function returns the difference of the complex number a and the real number x, z=a-x.

Function: gsl_complex gsl_complex_mul_real (gsl_complex a, double x)

  This function returns the product of the complex number a and the real number x, z=ax.

Function: gsl_complex gsl_complex_div_real (gsl_complex a, double x)

  This function returns the quotient of the complex number a and the real number x, z=a/x.

Function: gsl_complex gsl_complex_add_imag (gsl_complex a, double y)

  This function returns the sum of the complex number a and the imaginary number i y, z=a+iy.

Function: gsl_complex gsl_complex_sub_imag (gsl_complex a, double y)

  This function returns the difference of the complex number a and the imaginary number i y, z=a-iy.

Function: gsl_complex gsl_complex_mul_imag (gsl_complex a, double y)

  This function returns the product of the complex number a and the imaginary number i y, z=a*(iy).

Function: gsl_complex gsl_complex_div_imag (gsl_complex a, double y)

  This function returns the quotient of the complex number a and the imaginary number i y, z=a/(iy).

Function: gsl_complex gsl_complex_conjugate (gsl_complex z)

  This function returns the complex conjugate of the complex number z, z^* = x - i y.

Function: gsl_complex gsl_complex_inverse (gsl_complex z)

  This function returns the inverse, or reciprocal, of the complex number z, 1/z = (x - i y)/(x^2 + y^2).

Function: gsl_complex gsl_complex_negative (gsl_complex z)

  This function returns the negative of the complex number z, -z = (-x) + i(-y).