Difference equations, uniform quasiclassical asymptotics and Airy functions
Résumé
We consider the second order difference equation ψ(z + h) + ψ(z − h) + v(z)ψ(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h → 0 the analytic solutions to this equation have quasiclassical behavior. In this note we describe their uniform asymptotics in neighborhoods of simple turning points, the neighborhoods being independent of h.
Mots clés
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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