Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator
UDC 517.5 A useful tool proved in the present paper is the Borel–Pompeiu formula for the resulting function class of null solutions of the quaternionic perturbed fractional $\psi$-Fueter operator. Motivated by this formula, we developed major steps of the associated Bergman theory.
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| Date: | 2025 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8381 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513064639528960 |
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| author | Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan |
| author_facet | Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan |
| author_sort | Cervantes, José O. González |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-08T09:36:21Z |
| description | UDC 517.5
A useful tool proved in the present paper is the Borel–Pompeiu formula for the resulting function class of null solutions of the quaternionic perturbed fractional $\psi$-Fueter operator. Motivated by this formula, we developed major steps of the associated Bergman theory. |
| doi_str_mv | 10.3842/umzh.v77i3.8381 |
| first_indexed | 2026-03-24T03:38:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8381 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:45Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-83812025-11-08T09:36:21Z Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Quaternionic analysis Borel-Pompeiu formulas Bergman theory perturbed fractional $\psi$-Fueter operator UDC 517.5 A useful tool proved in the present paper is the Borel–Pompeiu formula for the resulting function class of null solutions of the quaternionic perturbed fractional $\psi$-Fueter operator. Motivated by this formula, we developed major steps of the associated Bergman theory. УДК 517.5 Теорія Бергмана, індукована кватерніонним збуреним дробовим оператором $\psi$-Футера Корисним інструментом, отриманим у цій статті, є формула Бореля–Помпею для результуючого класу функцій нульових розв'язків кватерніонного збуреного дробового $\psi$-оператора Футера. На основі цієї формули розвинуто основні поняття теорії Берґмана, що пов'язана з нею. Institute of Mathematics, NAS of Ukraine 2025-11-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8381 10.3842/umzh.v77i3.8381 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 3 (2025); 228–229 Український математичний журнал; Том 77 № 3 (2025); 228–229 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8381/10418 Copyright (c) 2025 José O. González Cervantes, Marco A. Pérez de la Rosa, Juan Bory Reyes |
| spellingShingle | Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Cervantes, José O. González Pérez de la Rosa, Marco A. Bory Reyes, Juan Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_alt | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_full | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_fullStr | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_full_unstemmed | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_short | Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator |
| title_sort | bergman theory induced by a quaternionic perturbed fractional $\psi$-fueter operator |
| topic_facet | Quaternionic analysis Borel-Pompeiu formulas Bergman theory perturbed fractional $\psi$-Fueter operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8381 |
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