Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site ContributeEmail CommentsSign the Guestbook

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Introduction to the Sine Function





Representation through more general functions


The function is a particular case of more complicated mathematical functions. For example, it is a special case of the generalized hypergeometric function with the parameter at , multiplied by :

It is also a particular case of the Bessel function with the parameter , multiplied by :

Other Bessel functions can also be expressed through sine functions for similar values of the parameter:

Struve functions can also degenerate into the sine function for similar values of the parameter:

But the function is also a degenerate case of the doubly periodic Jacobi elliptic functions when their second parameter is equal to or :

Finally, the function is the particular case of another class of functions—the Mathieu functions:





© 1998- Wolfram Research, Inc.