Estimates for Integrals with Mittag-Leffler Functions

被引：0
作者：
Ikromov, Isroil A. [1 ,2 ]
Safarov, Akbar R. [3 ]
机构：
[1] Uzbek Acad Sci, Romanovskii Inst Math, Tashkent 100174, Uzbekistan
[2] Samarkand State Univ, Samarkand 140104, Uzbekistan
[3] Uzbek Finnish Pedag Inst, Samarkand 140100, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 08期
关键词：
Mittag-Leffler functions; phase function; amplitude; oscillatory integrals;
D O I：
10.1134/S1995080224604491
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the problem on uniform estimates for generalized oscillatory integrals given by Mittag-Leffler functions with the polynomial phase. We obtain a variant of the Ricci-Stein lemma and invariant estimates for corresponding integrals.
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页码：3884 / 3896
页数：13
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