Bessel Functions
Bessel function of the first kind
positive real number
positive integer
Bessel function of the second kind
positive real number (
integer)
positive integer
Property
The general solution of
is
Property
Orthogonality
Let
be a solution of
.Then,
constantsLet
be solutions that satisfy
.Then, we have:
Therefore,
are orthogonal.Property
Function series
If
are continuous in the interval 
except in a finite number of points,
Hankel function of the first kind
Hankel function of the second kind
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