Hilbert transforms and sum rules of Bessel moments

DOI10.1007/s11139-017-9945-yzbMath1409.44002arXiv1706.01068OpenAlexW3100240295MaRDI QIDQ1733372

Yajun Zhou

Publication date: 21 March 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01068

zbMATH Keywords

Bessel functionsHilbert transformsFeynman integrals

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

\({\mathbb{Q}}\)-linear dependence of certain Bessel moments ⋮ Quadratic relations between Bessel moments ⋮ On Laporta's 4-loop sunrise formulae

Uses Software

• OEIS

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