Методы математической физики - 143 стр.

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ν = 0 J
0
0
(x) = J
1
(x)
1
x
£
x
ν
J
0
ν
(x) + ν x
ν1
J
ν
(x)
¤
= x
ν1
J
ν1
(x) ,
J
0
ν
(x) = J
ν1
ν
J
ν
(x)
x
.
J
ν1
(x) J
ν+1
(x) = 2J
0
ν
(x) ,
J
ν1
(x) + J
ν+1
(x) = 2ν
J
ν
(x)
x
.
J
0
(x)
J
1
(x)
1
Z
0
J
n
(µ
(n)
i
x) J
n
(µ
(n)
j
x) x dx = δ
ij
1
2
h
J
n+1
(µ
(n)
j
)
i
2
,
δ
ij
µ
(n)
i
, µ
(n)
j
J
n
(x)
J
ν
(x)
J
ν
(x)
ν = n
J
n
(x)
C
1
=
cos νπ
sin νπ
, C
2
=
1
sin νπ
,