The enumeration of restricted random walks by Sheffer polynomials with applications to statistics

DOI10.1016/0378-3758(86)90014-5zbMath0619.05004OpenAlexW2046973803MaRDI QIDQ1089339

Heinrich Niederhausen

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90014-5

zbMATH Keywords

umbral calculuslattice pathsSheffer polynomialsoperator equationsgambler's ruin problemDifference equationspath enumeration

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Additive difference equations (39A10) Linear difference operators (47B39)

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On the enumeration of non-crossing pairings of well-balanced binary strings ⋮ Parking distributions on trees ⋮ Computer algebra and umbral calculus ⋮ On some results for Bernoulli excursions ⋮ Polynomial structures in rank statistics distributions ⋮ Initial value problems in the logarithmic algebra ⋮ Random walks with absorbing points ⋮ A history and a survey of lattice path enumeration ⋮ Adsorbing staircase walks and staircase polygons

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