A Proof of a Recursion for Bessel Moments

Jonathan Borwein (1) , Bruno Salvy (2)

1 Faculty of Computer Science
2 ALGORITHMS - Algorithms

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~$K_0$.

Domaines: Analyse classique [math.CA]; Calcul formel [cs.SC]

Jonathan Borwein, Bruno Salvy. A Proof of a Recursion for Bessel Moments. [Research Report] 2008, pp.10. ⟨inria-00152799v2⟩