The evaluation of a quartic integral via Schwinger, Schur and Bessel

DOI10.1007/S11139-010-9291-9zbMath1276.33005arXiv1009.2399OpenAlexW1989967254MaRDI QIDQ452266

Christophe Vignat, Victor H. Moll, Tewodoros Amdeberhane

Publication date: 20 September 2012

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

Full work available at URL: https://arxiv.org/abs/1009.2399

zbMATH Keywords

Schur functionsintegralshypergeometric functionsBessel functionsWZ method

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (2)

Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities ⋮ A by-product of an integral evaluation

Uses Software

• DLMF
• HolonomicFunctions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities
• Series evaluation of a quartic integral
• Computing one of Victor Moll's irresistible integrals with computer algebra
• A formula for a quartic integral: a survey of old proofs and some new ones
• An integral hidden in Gradshteyn and Ryzhik
• The method of brackets. Part 2: examples and applications
• A Generalization of the Beta-Distribution
• Wallis-Ramanujan-Schur-Feynman

This page was built for publication: The evaluation of a quartic integral via Schwinger, Schur and Bessel