By itself, the choice of this particular q-analog among the many possible options is unmotivated.

There is a q-analog to this theorem called the q-Vandermonde identity.

The "basic" series is the q-analog of the ordinary hypergeometric series.

This q-analog appears naturally in several contexts.

A q-analog of the Taylor expansion of a function about zero follows:

The earliest q-analog studied in detail is the basic hypergeometric series, which was introduced in the 19th century.

In mathematics, the q-Konhauser polynomials are a q-analog of the Konhauser polynomials, introduced by .

Rothe was also the first to formulate the q-binomial theorem, a q-analog of the binomial theorem, in an 1811 publication.

Faulhaber's formula was generalized by V. Guo and J. Zeng to a q-analog .

In mathematics, in the area of combinatorics, a q-Pochhammer symbol, also called a q-shifted factorial, is a q-analog of the common Pochhammer symbol.

Although various q-Dixon identities have been known for decades, except for a Krattenthaler-Schlosser extension (1999), the proper q-analog of MMT remained elusive.

In mathematics, the elliptic gamma function is a generalization of the q-Gamma function, which is itself the q-analog of the ordinary Gamma function.

In mathematics, in the area of combinatorics, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson.

Rota and Harper (1971) proved that the largest size of an antichain in is the largest Gaussian coefficient this is the projective-geometry analog, or q-analog, of Sperner's theorem.

In mathematics, the Hahn-Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, introduced by in a special case and by in general.

There is generalized q-analog of the classical central limit theorem in which the independence constraint for the i.i.d. variables is relaxed to an extent defined by the q parameter, with independence being recovered as q 1.

Roughly speaking, in mathematics, specifically in the areas of combinatorics and special functions, a q-analog of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity or expression in the limit as q 1.