This is a list of q-analogs in mathematics and related fields.
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 Continuous q-Legendre polynomials q-Meixner polynomials q-Meixner–Pollaczek polynomials q-Racah polynomials
Probability and statistics Gaussian q-distribution q-exponential distribution q-Weibull distribution 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