Geodesic
Uniform estimates for Mittag--Leffler functions with smooth phase
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 673-680

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In this paper we consider the problem on uniform estimates for Mittag–Leffler functions with the smooth phase functions having singularities $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.
Keywords: Mittag–Leffler functions, phase function
Mots-clés : amplitude. 
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     author = {Akbar R. Safarov},
     title = {Uniform estimates for {Mittag--Leffler} functions with smooth phase},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {673--680},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a12/}
}
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Akbar R. Safarov. Uniform estimates for Mittag--Leffler functions with smooth phase. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 673-680. http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a12/