On properties of the solutions of the Weber equation
Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are investigated.
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2015-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
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| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1404 |
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Article |
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doaj-d50a55a6059d4f78a507e030fe7c49442020-11-25T03:38:22ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102015-12-017224725310.15330/cmp.7.2.247-2531404On properties of the solutions of the Weber equationYu.S. Trukhan0Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineGrowth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are investigated.https://journals.pnu.edu.ua/index.php/cmp/article/view/1404entire function$l$-index boundednessconvex functiongrowthweber equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yu.S. Trukhan |
| spellingShingle |
Yu.S. Trukhan On properties of the solutions of the Weber equation Karpatsʹkì Matematičnì Publìkacìï entire function $l$-index boundedness convex function growth weber equation |
| author_facet |
Yu.S. Trukhan |
| author_sort |
Yu.S. Trukhan |
| title |
On properties of the solutions of the Weber equation |
| title_short |
On properties of the solutions of the Weber equation |
| title_full |
On properties of the solutions of the Weber equation |
| title_fullStr |
On properties of the solutions of the Weber equation |
| title_full_unstemmed |
On properties of the solutions of the Weber equation |
| title_sort |
on properties of the solutions of the weber equation |
| publisher |
Vasyl Stefanyk Precarpathian National University |
| series |
Karpatsʹkì Matematičnì Publìkacìï |
| issn |
2075-9827 2313-0210 |
| publishDate |
2015-12-01 |
| description |
Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are investigated. |
| topic |
entire function $l$-index boundedness convex function growth weber equation |
| url |
https://journals.pnu.edu.ua/index.php/cmp/article/view/1404 |
| work_keys_str_mv |
AT yustrukhan onpropertiesofthesolutionsoftheweberequation |
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1724542560342376448 |