Oscillatory integrals for Mittag-Leffler functions with two variables

Isroil A. Ikromov; Michael Ruzhansky; Akbar R. Safarov

doi:10.5802/crmath.597

Article de recherche - Analyse harmonique

Oscillatory integrals for Mittag-Leffler functions with two variables
[Intégrales oscillatoires pour les fonctions de Mittag-Leffler à deux variables]

Isroil A. Ikromov ^1,² ; Michael Ruzhansky ^3,⁴ ; Akbar R. Safarov ⁵

¹ Institute of Mathematics of the Academy of Sciences of Uzbekistan, Olmazor district, University 46, Tashkent, Uzbekistan, Samark
² State University, Department of Mathematics, 15 University Boulevard, Samarkand, 140104, Uzbekistan
³ Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, Belgium
⁴ School of Mathematical Sciences, Queen Mary University of London, United Kingdom
⁵ Uzbek-Finnish Pedagogical Institute, Spitamenshox 166, Samarkand, Uzbekistan

Comptes Rendus. Mathématique, Volume 362 (2024), pp. 789-798.

Résumé
Abstract

Dans cet article, nous considérons le problème de l’estimation des intégrales oscillatoires avec les fonctions de Mittag-Leffler à deux variables. La généralisation est que l’on remplace la fonction exponentielle par la fonction de type Mittag-Leffler, pour étudier les intégrales de type oscillatoire.

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.

Reçu le : 2022-12-16
Révisé le : 2023-12-01
Accepté le : 2023-12-02
Publié le : 2024-09-17

DOI : 10.5802/crmath.597

Classification : 35D10, 42B20, 26D10

Affiliations des auteurs :

Isroil A. Ikromov ^{1, 2} ; Michael Ruzhansky ^{3, 4} ; Akbar R. Safarov ⁵

¹ Institute of Mathematics of the Academy of Sciences of Uzbekistan, Olmazor district, University 46, Tashkent, Uzbekistan, Samark
² State University, Department of Mathematics, 15 University Boulevard, Samarkand, 140104, Uzbekistan
³ Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, Belgium
⁴ School of Mathematical Sciences, Queen Mary University of London, United Kingdom
⁵ Uzbek-Finnish Pedagogical Institute, Spitamenshox 166, Samarkand, Uzbekistan

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Isroil A. Ikromov and Michael Ruzhansky and Akbar R. Safarov},
     title = {Oscillatory integrals for {Mittag-Leffler} functions with two variables},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {789--798},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {362},
     year = {2024},
     doi = {10.5802/crmath.597},
     language = {en},
}

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Isroil A. Ikromov; Michael Ruzhansky; Akbar R. Safarov. Oscillatory integrals for Mittag-Leffler functions with two variables. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 789-798. doi : 10.5802/crmath.597. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.597/

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