Work

Random walk and Weber-Schafheitlin integral: generalizations and discussion

Year: 2026

Type: preprint

Abstract: This paper presents a study of the Weber-Schafheitlin integral and its connections to random walk theory. The Weber-Schafheitlin integral, defined as the improper integral of a product of Bessel functions, arises naturally in the evaluation of probability distributions for multidimensional random walks. This work bridges pure special function theory with applied probability.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.06748

Authors: Marichev, O. I., Shishkina, E. L.

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212049557

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