(For other notation see Notation for the Special Functions.)
|real or complex constants.|
|base of natural logarithms.|
It is assumed the user is familiar with the definitions and properties of elementary functions of real arguments . The main purpose of the present chapter is to extend these definitions and properties to complex arguments .
The main functions treated in this chapter are the logarithm , ; the exponential , ; the circular trigonometric (or just trigonometric) functions , , , , , ; the inverse trigonometric functions , , etc.; the hyperbolic trigonometric (or just hyperbolic) functions , , , , , ; the inverse hyperbolic functions , , etc.
Sometimes in the literature the meanings of and are interchanged; similarly for and , etc. Sometimes “arc” is replaced by the index “−1”, e.g. for and for .