Growth of solutions of second order linear differential equations with extremal functions for Denjoy's conjecture as coefficients
2016 ◽
Vol 47
(2)
◽
pp. 237-247
◽
Keyword(s):
The classical problem of finding conditions on the entire coefficients $A(z)$ and $B(z)$ guaranteeing that all nontrivial solutions of $f''+A(z)f'+B(z)f=0$ are of infinite order is discussed. Some such conditions which involve deficient value, Borel exceptional value and extremal functions for Denjoy's conjecture are obtained.
2013 ◽
Vol 21
(2)
◽
pp. 35-52
2010 ◽
Vol 88
(2)
◽
pp. 145-167
◽
2015 ◽
Vol 48
(3)
◽
pp. 306-314
◽