Author:
Tu Jin,Xuan Zu-Xing,Xu Hong-Yan
Abstract
Abstract
In this paper, the authors investigate the iterated exponent of convergence of zeros of
f
(
j
)
(
z
)
−
φ
(
z
)
(
j
=
0
,
1
,
2
,
…
), where f is a solution of some second-order linear differential equation,
φ
(
z
)
≢
0
is an entire function satisfying
σ
p
+
1
(
φ
)
<
σ
p
+
1
(
f
)
or
i
(
φ
)
<
i
(
f
)
(
p
∈
N
). We obtain some results which improve and generalize some previous results in (Chen in Acta Math. Sci. Ser. A 20(3):425-432, 2000; Chen and Shon in Chin. Ann. Math. Ser. A 27(4):431-442, 2006; Tu et al. in Electron. J. Qual. Theory Differ. Equ. 23:1-17, 2011) and provide us with a method to investigate the iterated exponent of convergence of zeros of
f
(
j
)
(
z
)
−
φ
(
z
)
(
j
=
0
,
1
,
2
,
…
).
MSC:34A20, 30D35.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference17 articles.
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