A Proof of a Recurrence for Bessel Moments

DOI10.1080/10586458.2008.10129032zbMath1172.33309arXiv0706.1409OpenAlexW1768084426MaRDI QIDQ3546264

Jonathan M. Borwein, Bruno Salvy

Publication date: 18 December 2008

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1409

zbMATH Keywords

symbolic computationBessel functionsD-finite functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Applications of operator theory to differential and integral equations (47N20) Other functions coming from differential, difference and integral equations (33E30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (11)

\({\mathbb{Q}}\)-linear dependence of certain Bessel moments ⋮ Bananas of equal mass: any loop, any order in the dimensional regularisation parameter ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ Hilbert transforms and sum rules of Bessel moments ⋮ High-precision numerical integration: progress and challenges ⋮ Advances in the theory of box integrals ⋮ A Feynman integral via higher normal functions ⋮ On recurrences for Ising integrals ⋮ Analytic structure of all loop banana integrals ⋮ Index dependence of Bessel integral moments ⋮ Holonomic Anti-Differentiation and Feynman Amplitudes

Uses Software

• gfun

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