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Mathematics of the USSR-Sbornik, 1971, Volume 14, Issue 2, Pages 281–296
DOI: https://doi.org/10.1070/SM1971v014n02ABEH002618 (Mi sm3210) 		 
On the order of growth of transcendental entire solutions of algebraic differential equations of second order

V. V. Zimoglyad
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DOI: https://doi.org/10.1070/SM1971v014n02ABEH002618
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.
Received: 20.10.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 85(127), Number 2(6), Pages 286–302
Bibliographic databases:
UDC: 517.535.4+517.917
MSC: Primary 30A64; Secondary 34A20
Language: English
Original paper language: Russian
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/sm3210}
\mathscinet{http://mathscinet.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}
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  • https://www.mathnet.ru/eng/sm/v127/i2/p286
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:85
    English version PDF:9
    References:47
     
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