A -analog, also called a *q*-Extension or *q*-Generalization, is a mathematical expression parameterized by a quantity which generalizes a known expression
and reduces to the known expression in the limit . There are -analogs of the Factorial,
Binomial Coefficient, Derivative, Integral, Fibonacci Numbers, and
so on. Koornwinder, Suslov, and Bustoz, have even managed some kind of -Fourier analysis.

The -analog of a mathematical object is generally called the ``-object'', hence *q*-Binomial Coefficient, *q*-Factorial, etc. There are generally several
-analogs if there is one, and there is sometimes even a multibasic analog with independent , , ....

**References**

Exton, H. *-Hypergeometric Functions and Applications.* New York: Halstead Press, 1983.

© 1996-9

1999-05-25