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Hyperasymptotics and hyperterminants: Exceptional cases
Authors:A.B. Olde Daalhuis  
Affiliation:aMaxwell Institute and School of Mathematics, King’s Buildings, The University of Edinburgh, Edinburgh EH9 3JZ, UK
Abstract:A new method is introduced for the computation of hyperterminants. It is based on recurrence relations, and can also be used to compute the parameter derivatives of the hyperterminants. These parameter derivatives are needed in hyperasymptotic expansions in exceptional cases. Numerical illustrations and an application are included.
Keywords:Asymptotic expansions   Hyperasymptotics   Recurrence relations   Stokes multiplier
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