Tricomi–Carlitz polynomials

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In mathematics, the Tricomi–Carlitz polynomials or (Carlitz–) Karlin–McGregor polynomials are polynomials studied by Tricomi (1951),[1] Template:Harvs,[2] and Template:Harvs,[3] related to random walks on the positive integers.

They are given in terms of Laguerre polynomials by

ℓn(x)=(−1)nLn(x−n)(x).

They are special cases of the Chihara–Ismail polynomials.

References

  1. ↑ Template:Cite journal
  2. ↑ Template:Citation
  3. ↑ Template:Cite journal


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