Oscillatory integrals for Mittag-Leffler functions with two variables
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.597/ |
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| author | Ikromov, Isroil A. Ruzhansky, Michael Safarov, Akbar R. |
| author_facet | Ikromov, Isroil A. Ruzhansky, Michael Safarov, Akbar R. |
| author_sort | Ikromov, Isroil A. |
| collection | DOAJ |
| description | In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals. |
| format | Article |
| id | doaj-art-3c6e16429f4d4654a248bb186c51962a |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-3c6e16429f4d4654a248bb186c51962a2025-02-07T11:22:28ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-09-01362G778979810.5802/crmath.59710.5802/crmath.597Oscillatory integrals for Mittag-Leffler functions with two variablesIkromov, Isroil A.0Ruzhansky, Michael1Safarov, Akbar R.2Institute of Mathematics of the Academy of Sciences of Uzbekistan, Olmazor district, University 46, Tashkent, Uzbekistan, Samark; State University, Department of Mathematics, 15 University Boulevard, Samarkand, 140104, UzbekistanDepartment of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, Belgium; School of Mathematical Sciences, Queen Mary University of London, United KingdomUzbek-Finnish Pedagogical Institute, Spitamenshox 166, Samarkand, UzbekistanIn this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.597/ |
| spellingShingle | Ikromov, Isroil A. Ruzhansky, Michael Safarov, Akbar R. Oscillatory integrals for Mittag-Leffler functions with two variables Comptes Rendus. Mathématique |
| title | Oscillatory integrals for Mittag-Leffler functions with two variables |
| title_full | Oscillatory integrals for Mittag-Leffler functions with two variables |
| title_fullStr | Oscillatory integrals for Mittag-Leffler functions with two variables |
| title_full_unstemmed | Oscillatory integrals for Mittag-Leffler functions with two variables |
| title_short | Oscillatory integrals for Mittag-Leffler functions with two variables |
| title_sort | oscillatory integrals for mittag leffler functions with two variables |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.597/ |
| work_keys_str_mv | AT ikromovisroila oscillatoryintegralsformittaglefflerfunctionswithtwovariables AT ruzhanskymichael oscillatoryintegralsformittaglefflerfunctionswithtwovariables AT safarovakbarr oscillatoryintegralsformittaglefflerfunctionswithtwovariables |