Hyperterminants. II

DOI10.1016/S0377-0427(97)00220-3zbMath0910.34014OpenAlexW2911805937MaRDI QIDQ1392790

D. Massart

Publication date: 19 April 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00220-3

zbMATH Keywords

hypergeometric functionshyperasymptotic expansionshyperterminantsnonlinear differential equations and integrals

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (9)

The Fourier transform of the quartic Gaussian \(\exp(-Ax^4)\): hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to \(\exp(-Ax^{2 n})\) ⋮ The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics ⋮ Effective Borel-resummation by factorial series ⋮ Exponentially-improved asymptotics and numerics for the (un)perturbed first Painlevé equation* ⋮ Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles ⋮ Hyperasymptotics and hyperterminants: exceptional cases ⋮ \(k\)-hypergeometric series solutions to one type of non-homogeneous \(k\)-hypergeometric equations ⋮ Global asymptotics for multiple integrals with boundaries. ⋮ Dingle’s final main rule, Berry’s transition, and Howls’ conjecture ^*

Cites Work

• Unnamed Item
• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Hyperasymptotics for integrals with saddles
• Hyperasymptotics for integrals with finite endpoints
• Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
• Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Hyperdeterminants. I

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