Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions
The conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard composition of Gelfond-Leont'ev derivatives o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/106 |
| _version_ | 1819226440632107008 |
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| author | O. M. Mulyava M. M. Sheremeta |
| author_facet | O. M. Mulyava M. M. Sheremeta |
| author_sort | O. M. Mulyava |
| collection | DOAJ |
| description | The conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard composition of Gelfond-Leont'ev derivatives of these functions. Analogous problem is solved for analytic functions in the unit disk. |
| first_indexed | 2024-12-23T10:25:32Z |
| format | Article |
| id | doaj.art-c64e88a3872e42c096ef251c7009d9af |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-23T10:25:32Z |
| publishDate | 2013-01-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-c64e88a3872e42c096ef251c7009d9af2022-12-21T17:50:35ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-014111111510.15330/cmp.4.1.111-115110Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functionsO. M. Mulyava0M. M. Sheremeta1National University of Food Technologies, 68 Volodymyrska str., 01601, Kyiv, UkraineIvan Franko National University, 1 Universytetska str., 79000, Lviv, UkraineThe conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard composition of Gelfond-Leont'ev derivatives of these functions. Analogous problem is solved for analytic functions in the unit disk.http://journals.pu.if.ua/index.php/cmp/article/view/106 |
| spellingShingle | O. M. Mulyava M. M. Sheremeta Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions Karpatsʹkì Matematičnì Publìkacìï |
| title | Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions |
| title_full | Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions |
| title_fullStr | Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions |
| title_full_unstemmed | Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions |
| title_short | Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions |
| title_sort | belonging to convergence classes of hadamard compositions of gelfond leont ev derivatives for analytic functions |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/106 |
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