A Proof of a Recursion for Bessel Moments
Jonathan M. Borwein, Bruno Salvy (INRIA Rocquencourt)
TL;DR
This paper proves a conjecture regarding the existence and structure of linear recursions for Bessel function moments, confirming a mathematical hypothesis about their recursive properties.
Contribution
It provides a rigorous proof of a conjecture on the recursion formulas for Bessel moments, advancing understanding of their mathematical structure.
Findings
Confirmed the existence of linear recursions for Bessel moments
Derived explicit forms of the recursions
Validated previous conjectures from 2007
Abstract
We provide a proof of a conjecture in (Bailey, Borwein, Borwein, Crandall 2007) on the existence and form of linear recursions for moments of powers of the Bessel function .
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