Geodesic
Estimates for Mittag-Leffler functions with smooth phase depending on two variables
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 459-466

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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.
Keywords: Mittag–Leffler functions, phase function
Mots-clés : amplitude. 
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     author = {Akbar R. Safarov},
     title = {Estimates for {Mittag-Leffler} functions with smooth phase depending on two variables},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a4/}
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Akbar R. Safarov. Estimates for Mittag-Leffler functions with smooth phase depending on two variables. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 459-466. http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a4/