Abstract
1. The object of the present paper is to exhibit the processes of calculation of the values of the two solutions of the equation
d
2
y
/
dx
2
+ 1/
x
⋅
dy
/
dx
- (1 +
n
2
/
x
2
)
y
= 0 ............. (1), for successive values of
x
in the two cases of
n
= 0 and
n
= 1. That is if
y
= AI
n
(
x
) + BK
n
(
x
) be the complete integral of (1), where K
n
(
x
) is a function which becomes zero when
x
is indefinitely increased, our object is to calculate the values of I
0
(
x
), I
1
(
x
), K
0
(
x
), K
1
(
x
) for successive equidistant values of
x
.
Subject
General Earth and Planetary Sciences,General Environmental Science
Cited by
3 articles.
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