Summary: MATH 311 HANDOUT
CHECKING THE SOLUTION OF THE BESSEL EQUATION
MICHAEL ANSHELEVICH
We want to check that the first Bessel function
J1(x) =

k=0
(-1)k 1
22k+1k!(k + 1)!
x2k+1
is the solution of the Bessel equation for n = 1,
y +
1
x
y + 1 -
1
x2
y = 0.
Differentiating term-by-term, we calculate
J1(x) =

Source: Anshelevich, Michael - Department of Mathematics, Texas A&M University

Collections: Mathematics