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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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Sonraí Bibleagrafaíochta
Príomhúdar: Yu.S. Trukhan
Formáid: Artigo
Teanga:Inglês
Foilsithe: Vasyl Stefanyk Precarpathian National University 2015-12-01
Sraith:Karpatsʹkì Matematičnì Publìkacìï
Ábhair:
Rochtain Ar Líne:https://journals.pnu.edu.ua/index.php/cmp/article/view/1404
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