论文信息 - 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.

D. Benbourenane | Linda R. Sons | L. Sons | D. Benbourenane

[1] Lawrence Zalcman,et al. A Heuristic Principle in Complex Function Theory , 1975 .

[2] 辻正次,et al. Potential theory in modern function theory , 1959 .

[3] S. Bank. A general theorem concerning the growth of solutions of first-order algebraic differential equations , 1972 .

[4] Lawrence Zalcman,et al. Normal families: New perspectives , 1998 .

[5] Masatsugu Tsuji,et al. Potential theory in modern function theory , 1959 .