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On approximating the modified Bessel function of the first kind and Toader-Qi mean
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Journal Article
On approximating the modified Bessel function of the first kind and Toader-Qi mean
2016
Overview
In the article, we present several sharp bounds for the modified Bessel function of the first kind
I
0
(
t
)
=
∑
n
=
0
∞
t
2
n
2
2
n
(
n
!
)
2
and the Toader-Qi mean
T
Q
(
a
,
b
)
=
2
π
∫
0
π
/
2
a
cos
2
θ
b
sin
2
θ
d
θ
for all
t
>
0
and
a
,
b
>
0
with
a
≠
b
.
Publisher
Springer International Publishing,Springer Nature B.V,SpringerOpen
