On some properties of Schwartz–Gopengauz operator
The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-09-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30569 |
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| _version_ | 1825197231635955712 |
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| author | Eduardas Kirjackis |
| author_facet | Eduardas Kirjackis |
| author_sort | Eduardas Kirjackis |
| collection | DOAJ |
| description |
The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.
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| format | Article |
| id | doaj-art-391f2242841a4acd99922164ae2a0308 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-391f2242841a4acd99922164ae2a03082025-02-11T18:12:59ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30569On some properties of Schwartz–Gopengauz operatorEduardas Kirjackis0Vilnius Gedimino Technical University The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined. https://www.zurnalai.vu.lt/LMR/article/view/30569holomorphic functionoperatorfunctionaldivided difference |
| spellingShingle | Eduardas Kirjackis On some properties of Schwartz–Gopengauz operator Lietuvos Matematikos Rinkinys holomorphic function operator functional divided difference |
| title | On some properties of Schwartz–Gopengauz operator |
| title_full | On some properties of Schwartz–Gopengauz operator |
| title_fullStr | On some properties of Schwartz–Gopengauz operator |
| title_full_unstemmed | On some properties of Schwartz–Gopengauz operator |
| title_short | On some properties of Schwartz–Gopengauz operator |
| title_sort | on some properties of schwartz gopengauz operator |
| topic | holomorphic function operator functional divided difference |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30569 |
| work_keys_str_mv | AT eduardaskirjackis onsomepropertiesofschwartzgopengauzoperator |