Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$
We describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1326 |
| _version_ | 1818282801422663680 |
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| author | R.V. Khats’ |
| author_facet | R.V. Khats’ |
| author_sort | R.V. Khats’ |
| collection | DOAJ |
| description | We describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$. |
| first_indexed | 2024-12-13T00:26:47Z |
| format | Article |
| id | doaj.art-3b1a9a3ed0c84a20ae1a7486b659b4ff |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-13T00:26:47Z |
| publishDate | 2013-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-3b1a9a3ed0c84a20ae1a7486b659b4ff2022-12-22T00:05:24ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-12-015234134410.15330/cmp.5.2.341-3441326Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$R.V. Khats’0Ivan Franko State Pedagogical University, 24 Franka str., 82100, Drohobych, UkraineWe describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$.https://journals.pnu.edu.ua/index.php/cmp/article/view/1326entire function of improved regular growthfinite system of raysfourier coefficientshausdorff-young theorem |
| spellingShingle | R.V. Khats’ Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ Karpatsʹkì Matematičnì Publìkacìï entire function of improved regular growth finite system of rays fourier coefficients hausdorff-young theorem |
| title | Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ |
| title_full | Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ |
| title_fullStr | Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ |
| title_full_unstemmed | Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ |
| title_short | Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$ |
| title_sort | asymptotic behavior of entire functions of improved regular growth in the metric of l p 0 2 pi |
| topic | entire function of improved regular growth finite system of rays fourier coefficients hausdorff-young theorem |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/1326 |
| work_keys_str_mv | AT rvkhats asymptoticbehaviorofentirefunctionsofimprovedregulargrowthinthemetricoflp02pi |