A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS

DOI10.1017/S0004972715001112zbMath1347.60049OpenAlexW2253198932MaRDI QIDQ2800103

Corwin Sinnamon, Jonathan M. Borwein

Publication date: 14 April 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001112

zbMATH Keywords

generalized hypergeometric functionsshort distance densityuniform random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble ⋮ On the problem of random flights in odd dimensions ⋮ Representing the Stirling polynomials \(\sigma_n(x)\) in dependence of \(n\) and an application to polynomial zero identities ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series ⋮ Unnamed Item

Uses Software

• Maple

Cites Work

• Unnamed Item
• Exact solutions for isotropic random flights in odd dimensions
• Densities of Short Uniform Random Walks

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