Puneet Varma (Editor)

List of q analogs

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

Contents

Algebra

  • Iwahori–Hecke algebra
  • Quantum affine 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

  • q-copula
  • Gaussian q-distribution
  • q-exponential distribution
  • q-Weibull distribution
  • Tsallis q-Gaussian

    • 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

    • References

    List of q-analogs Wikipedia
    (Text) CC BY-SA


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