- Title
- Three-step and four-step random walk integrals
- Creator
- Borwein, Jonathan M.; Straub, Armin; Wan, James
- Relation
- Experimental Mathematics Vol. 22, Issue 1, p. 1-14
- Publisher Link
- http://dx.doi.org/10.1080/10586458.2013.748379
- Publisher
- Taylor & Francis
- Resource Type
- journal article
- Date
- 2013
- Description
- We investigate the moments of 3-step and 4-step uniform random walk in the plane. In particular, we further analyse a formula conjectured in BNSW expressing 4-step moments in terms of 3-step moments. Diverse related results including hypergeometric and elliptic closed forms for W4(± 1) are given and two new conjectures are recorded.
- Subject
- random walks; hypergeometric functions; Meijer G-functions; elliptic integrals
- Identifier
- http://hdl.handle.net/1959.13/940022
- Identifier
- uon:12926
- Identifier
- ISSN:1058-6458
- Rights
- This is an electronic version of an article published in Experimental Mathematics Vol. 22, Issue 1, p. 1-14. Experimental Mathematics is available online at: http://www.tandfonline.com/openurl?genre=article&issn=1058-6458&volume=22&issue=1&spage=1
- Language
- eng
- Full Text
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