Une <i>q</i>-déformation de la transformation de Bargmann vraie-polyanalytique

Sama Arjika; Othmane El Moize; Zouhaïr Mouayn

doi:10.1016/j.crma.2018.05.017

Physique mathématique

Une q-déformation de la transformation de Bargmann vraie-polyanalytique
[A q-deformation of the true-polyanalytic Bargmann transform]

Presented by: le comité de rédaction

Sama Arjika ¹; Othmane El Moize ²; Zouhaïr Mouayn ³

¹ Department of Mathematics and Computer Sciences, Faculty of Sciences and Technics, University of Agadez, BP 199, Agadez, Niger
² Department of Mathematics, Faculty of Sciences, BP 133, Kénitra, Maroc
³ Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), BP 523, Béni Mellal, Maroc

Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 903-910.

Abstract
Résumé

We introduce a q-analog of the true-polyanalytic Bargmann transform on $C$ .

Nous introduisons une version q-deformée de la transformation de Bargmann vraie-polyanalytique sur $C$ .

Received: 2017-10-24
Accepted: 2018-05-31
Published online: 2018-06-19

DOI: 10.1016/j.crma.2018.05.017

Author's affiliations:

Sama Arjika ¹; Othmane El Moize ²; Zouhaïr Mouayn ³

¹ Department of Mathematics and Computer Sciences, Faculty of Sciences and Technics, University of Agadez, BP 199, Agadez, Niger
² Department of Mathematics, Faculty of Sciences, BP 133, Kénitra, Maroc
³ Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), BP 523, Béni Mellal, Maroc

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     author = {Sama Arjika and Othmane El Moize and Zouha{\"\i}r Mouayn},
     title = {Une \protect\emph{q}-d\'eformation de la transformation de {Bargmann} vraie-polyanalytique},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {903--910},
     publisher = {Elsevier},
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Sama Arjika; Othmane El Moize; Zouhaïr Mouayn. Une q-déformation de la transformation de Bargmann vraie-polyanalytique. Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 903-910. doi : 10.1016/j.crma.2018.05.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.05.017/

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