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.

引用

页码：3884 / 3896

页数：13

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