Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 2, pp. 67-73
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Hayman, Walter K. The growth of solutions of algebraic differential equations. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 2, pp. 67-73. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_2_a1/
@article{RLIN_1996_9_7_2_a1,
author = {Hayman, Walter K.},
title = {The growth of solutions of algebraic differential equations},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {67--73},
year = {1996},
volume = {Ser. 9, 7},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_2_a1/}
}
TY - JOUR
AU - Hayman, Walter K.
TI - The growth of solutions of algebraic differential equations
JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY - 1996
SP - 67
EP - 73
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_2_a1/
LA - en
ID - RLIN_1996_9_7_2_a1
ER -
%0 Journal Article
%A Hayman, Walter K.
%T The growth of solutions of algebraic differential equations
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 1996
%P 67-73
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_2_a1/
%G en
%F RLIN_1996_9_7_2_a1
Suppose that \( f(z) \) is a meromorphic or entire function satisfying \( P(z, f, f', \ldots , f^{(n)}) = 0 \) where \( P \) is a polynomial in all its arguments. Is there a limitation on the growth of \( f \), as measured by its characteristic \( T(r, f) \)? In general the answer to this question is not known. Theorems of Gol'dberg, Steinmetz and the author give a positive answer in certain cases. Some illustrative examples are also given.
