On Pólya's random walk constants

DOI10.1090/PROC/16854MaRDI QIDQ6566405

Saralees Nadarajah, Robert E. Gaunt, Tibor K. Pogány

Publication date: 3 July 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Laplace transformrandom walkLauricella functionreturn probabilityPólya's constantsWatson's triple integrals

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Cites Work

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• Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz.
• HYPERDIRE -- hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables
• Three triple integrals.
• Evaluation of the Watson integral and associated logarithmic integral for the \(d\)-dimensional hypercubic lattice
• Random Walks in Multidimensional Spaces, Especially on Periodic Lattices
• Extended Watson integrals for the cubic lattices
• On hypergeometric functions of several variables.
• Random paths in two and three dimensions.

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