Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center

Download All Formulas For This Function
Mathematica Notebook
PDF File


Developed with Mathematica -- Download a Free Trial Version

General Identities

General Mathematical Identities for Analytic Functions

General Identities

General characteristics

Domain and analyticity

In the majority of cases, is an analytical function of , which is defined in the whole complex plane (if special restrictions are not shown).

Symmetries and periodicities

This formula is the condition for a function to be even. For example, the function is an even function.

This formula is the condition for a function to be odd. For example, the function is an odd function.

This formula reflects periodicity of function (if is periodic with period ). The analytic function is called periodic if there exists a complex constant such that . The number (with minimal value ) is called the period of the function . For example, the functions and have periods and accordingly.