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 Mat. Sb. (N.S.), 1971, Volume 85(127), Number 2(6), Pages 286–302 (Mi msb3210)

On the order of growth of transcendental entire solutions of algebraic differential equations of second order

Abstract: The basic result is the following.
Theorem. A differential equation of the form $P(z,y,y',y")=0$, where $P(z,u,v,w)$ is a polynomial in the variables $z$, $u$, $v$ and $w$, cannot be satisfied by entire transcendental functions of zero order of growth.
Figures: 1.
Bibliography: 10 titles.

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English version:
Mathematics of the USSR-Sbornik, 1971, 14:2, 281–296

Bibliographic databases:

UDC: 517.535.4+517.917
MSC: Primary 30A64; Secondary 34A20

Citation: V. V. Zimoglyad, “On the order of growth of transcendental entire solutions of algebraic differential equations of second order”, Mat. Sb. (N.S.), 85(127):2(6) (1971), 286–302; Math. USSR-Sb., 14:2 (1971), 281–296

Citation in format AMSBIB
\Bibitem{Zim71} \by V.~V.~Zimoglyad \paper On the order of growth of transcendental entire solutions of algebraic differential equations of second order \jour Mat. Sb. (N.S.) \yr 1971 \vol 85(127) \issue 2(6) \pages 286--302 \mathnet{http://mi.mathnet.ru/msb3210} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=291462} \zmath{https://zbmath.org/?q=an:0219.34006} \transl \jour Math. USSR-Sb. \yr 1971 \vol 14 \issue 2 \pages 281--296 \crossref{https://doi.org/10.1070/SM1971v014n02ABEH002618}