ORDER OF GROWTH OF SOLUTIONS TO ALGEBRAIC DIFFERENTIAL EQUATIONS IN THE UNIT DISK

ORDER OF GROWTH OF SOLUTIONS TO ALGEBRAIC DIFFERENTIAL EQUATIONS IN THE UNIT DISK

S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2004, Vol.2004 (41), p.2161-2170-161
Hauptverfasser: Benbourenane, D., Sons, L. R.
Format: Artikel
Sprache:eng
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Zusammenfassung:S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171204402336