On recurrences for Ising integrals

DOI10.1016/J.AAM.2008.05.004zbMath1433.33016OpenAlexW2008085730MaRDI QIDQ990763

Flavia Stan

Publication date: 1 September 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2008.05.004

zbMATH Keywords

Mellin-Barnes integralssymbolic summationIsing integrals

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Applications of hypergeometric functions (33C90) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (2)

More hypergeometric identities related to Ramanujan-type series ⋮ Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\)

Uses Software

• SIGMA
• HarmonicSums
• GeneratingFunctions
• MultiSum

Cites Work

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• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• A fast algorithm for proving terminating hypergeometric identities
• A holonomic systems approach to special functions identities
• A computer proof of a series evaluation in terms of harmonic numbers
• Symbolic summation assists combinatorics
• Integrals of the Ising class
• A Proof of a Recurrence for Bessel Moments
• Hypergeometric Forms for Ising-Class Integrals
• Generating Functions for Bessel and Related Polynomials

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