Article

Estimates for Integrals with Mittag-Leffler Functions

Isroil A. IkromovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanAkbar R. SafarovUzbek–Finnish Pedagogical Institute, 140100, Samarkand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

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.

Topics

advanced mathematical theories Mathematical functions and polynomials Spectral Theory in Mathematical Physics

Identifiers

DOI: 10.1134/s1995080224604491

Citations and references

Cited by 1 26 references

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