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Experimental Mathematics Volume 17, 2008 - Issue 2
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Original Article

A Proof of a Recurrence for Bessel Moments

Jonathan M. Borwein Faculty of Computer Science, Dalhousie University, Halifax, NS, B3H 2W5, Canada
&
Bruno Salvy Algorithms Project, Inria Paris-Rocquencourt, 78153 Le Chesnay Cedex, France
Pages 223-230 | Published online: 30 Jan 2011

Citations (12)

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Dominika W. Dec & Axel Schulze-Halberg. (2015) Index dependence of Bessel integral moments. Integral Transforms and Special Functions 26:6, pages 460-469.
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Articles from other publishers (11)

Sebastian Pögel, Xing Wang & Stefan Weinzierl. (2023) Bananas of equal mass: any loop, any order in the dimensional regularisation parameter. Journal of High Energy Physics 2023:4.
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Kilian Bönisch, Claude Duhr, Fabian Fischbach, Albrecht Klemm & Christoph Nega. (2022) Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives. Journal of High Energy Physics 2022:9.
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Yajun Zhou. (2021) $${\mathbb {Q}}$$-linear dependence of certain Bessel moments. The Ramanujan Journal 58:3, pages 723-746.
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Kilian Bönisch, Fabian Fischbach, Albrecht Klemm, Christoph Nega & Reza Safari. (2021) Analytic structure of all loop banana integrals. Journal of High Energy Physics 2021:5.
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Christoph Koutschan. 2021. Anti-Differentiation and the Calculation of Feynman Amplitudes. Anti-Differentiation and the Calculation of Feynman Amplitudes 261 277 .
Yajun Zhou. (2017) Hilbert transforms and sum rules of Bessel moments. The Ramanujan Journal 48:1, pages 159-172.
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Yajun Zhou. 2019. Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory 485 509 .
Spencer Bloch, Matt Kerr & Pierre Vanhove. (2015) A Feynman integral via higher normal functions. Compositio Mathematica 151:12, pages 2329-2375.
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Flavia Stan. (2010) On recurrences for Ising integrals. Advances in Applied Mathematics 45:3, pages 334-345.
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Dmitry Batenkov. (2009) Moment inversion problem for piecewise D -finite functions . Inverse Problems 25:10, pages 105001.
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David H. Bailey & Jonathan M. Borwein. (2009) Experimental mathematics and computational statistics. Wiley Interdisciplinary Reviews: Computational Statistics 1:1, pages 12-24.
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