On a generalization of polynomials in the ballot problem

DOI10.1016/0378-3758(86)90017-0zbMath0593.05004OpenAlexW2066628603MaRDI QIDQ1076022

Toshihiro Watanabe

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)90017-0

zbMATH Keywords

Sheffer polynomialsballot problemGould polynomialsTakács' urn model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30)

Related Items (1)

Computer algebra and umbral calculus

Cites Work

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• Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions
• Some generating functions for Laguerre polynomials
• On a dual relation for addition formulas of additive groups, I
• On a dual relation for addition formulas of additive groups II
• A Generalization of the Ballot Problem and its Application in the Theory of Queues
• A Class of Generating Functions
• Some Convolutions with Multinomial Coefficients and Related Probability Distributions
• Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I

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