ON THE UBIQUITY OF THE LÉVY INTEGRAL — ITS RELATIONSHIP WITH THE GENERALIZED EULER-JACOBI SERIES AND THEIR ASYMPTOTICS BEYOND ALL ORDERS

DOI10.1142/S0218348X03001446zbMath1053.33011arXivmath-ph/0211011MaRDI QIDQ4474611

N. E. Frankel, Timothy M. Garoni

Publication date: 12 July 2004

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211011

zbMATH Keywords

asymptotic expansionrandom matrix theoryWaring's problemasymptotics beyond all ordersgeneralized Euler-Jacobi seriesLévy integral

Mathematics Subject Classification ID

Gaussian processes (60G15) Waring's problem and variants (11P05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20)

Related Items (2)

Order and chaos in some deterministic infinite trigonometric products ⋮ Exact and explicit evaluation of Brézin-Hikami kernels

Cites Work

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• Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
• The special functions and their approximations. Vol. I, II
• Asymptotic Expansion of the Pearcey Integral Near the Caustic
• The asymptotic behaviour of Pearcey’s integral for complex variables
• Lévy flights: Exact results and asymptotics beyond all orders
• d -dimensional Lévy flights: Exact and asymptotic
• Asymptotic and Numerical Approximations of the Zeros of Fourier Integrals

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