HP (Hewlett-Packard) 50g ユーザーズマニュアル

Page 4-9

The hyperbolic functions and their inverses, as well as the Gamma, PSI, and Psi 
functions (special functions) were introduced and applied to real numbers in 
Chapter 3.  These functions can also be applied to complex numbers by 
following the procedures presented in Chapter 3.  Some examples are shown 
below:

     

The following screen shows that functions EXPM and LNP1 do not apply to 
complex numbers.  However, functions GAMMA, PSI, and Psi accept complex 
numbers:

     

Function DROITE takes as argument two complex numbers, say, x

1

+iy

1

 and 

x

2

+iy

2

, and returns the equation of the straight line, say, y = a+bx, that 

contains the points (x

1

,y

1

) and (x

2

,y

2

).  For example, the line between points 

A(5,-3) and B(6,2) can be found as follows (example in Algebraic mode):

Note: When using trigonometric functions and their inverses with complex 
numbers the arguments are no longer angles.  Therefore, the angular measure 
selected for the calculator has no bearing in the calculation of these functions 
with complex arguments.  To understand the way that trigonometric functions, 
and other functions, are defined for complex numbers consult a book on 
complex variables.