Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (4)
- Authors
- Safarov, Akbar R.
- Contact information
- Safarov, Akbar R.: V. I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences Tashkent, Uzbekistan; Samarkand State University Samarkand, Uzbekistan;
- Keywords
- Mittag–Leffler functions; phase function; amplitude
- Abstract
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∞, D ± 4 and Ar. 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
- Pages
- 459–466
- DOI
- 10.17516/1997-1397-2022-15-4-459-466
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/147488
Journal of Siberian Federal University. Mathematics & Physics / Estimates for Mittag-Leffler Functions with Smooth Phase Depending on Two Variables
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