Functions Applied To Complex Numbers; Functions From The Mth Menu - HP 49g+ User Manual

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Functions applied to complex numbers

Many of the keyboard-based functions defined in Chapter 3 for real numbers,

e.g., SQ, ,LN, e

, SIN, COS, TAN, ASIN, ACOS, ATAN, can be

applied to complex numbers. The result is another complex number, as

illustrated in the following examples. To apply this functions use the same

procedure as presented for real numbers (see Chapter 3).

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.

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