On a determinant sequence in the lattice path counting

DOI10.1016/0022-247X(87)90319-2zbMath0647.62047MaRDI QIDQ1104663

Toshihiro Watanabe

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rank order statisticsaddition formulacharacterization problemlattice path countingballot problembinomial polynomialsdeterminant sequenceHill's enzyme modellower ladder propertyrandom tableauxVandermonde convolution formula

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Lattices (06B99) Nonparametric inference (62G99)

Cites Work

• Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions
• A Markov chain occurring in enzyme kinetics
• Principles of combinatorics
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
• Unnamed Item