Estimates for Mittag-Leffler functions with smooth phase depending on two variables

Akbar R. Safarov

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 459-466.

Résumé

In this paper we consider the problem on estimates for Mittag-Leffler functions with the smooth phase functions of two variables having singularities of type $D_{\infty} $, $D_{4}^{\pm}$ and $A_{r}$. The generalisation is that we replace the exponential function with the Mittag–Leffler-type function, to study oscillatory type integrals. We extend results of paper [1] and [2] to two-dimensional integrals with phase having some simple singularities.

Détail

Keywords: Mittag–Leffler functions, phase function
Mots-clés : amplitude.

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