List of q-analogs

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This is a list of q-analogs in mathematics and related fields.

## Contents

* 1 Algebra
* 2 Analysis
* 3 Combinatorics
* 4 Orthogonal polynomials
* 5 Probability and statistics
* 6 Special functions
* 7 See also

## Algebra

* Iwahori–Hecke algebra
* Quantum affine algebra
* Quantum enveloping algebra
* Quantum group

## Analysis

* Jackson integral
* q-derivative
* q-difference polynomial
* Quantum calculus

## Combinatorics

* LLT polynomial
* q-binomial coefficient
* q-Pochhammer symbol
* q-Vandermonde identity

## Orthogonal polynomials

* q-Bessel polynomials
* q-Charlier polynomials
* q-Hahn polynomials
* q-Jacobi polynomials:
* Big q-Jacobi polynomials
* Continuous q-Jacobi polynomials
* Little q-Jacobi polynomials
* q-Krawtchouk polynomials
* q-Laguerre polynomials
* q-Meixner polynomials
* q-Meixner–Pollaczek polynomials
* q-Racah polynomials

## Probability and statistics

* Gaussian q-distribution
* q-exponential distribution
* q-Weibull diribution
* Tsallis q-Gaussian
* Tsallis entropy

## Special functions

* Basic hypergeometric series
* Elliptic gamma function
* Hahn–Exton q-Bessel function
* Jackson q-Bessel function
* q-exponential
* q-gamma function
* q-theta function

## See also

* Lists of mathematics topics

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