Phys 461/561
Fall 2009
Worksheet #19
Friday, November 20, 2009
Name
Questions (5 pts):
The generating function for Bessel functions of integer order is given by
x 1 
 h 
h
G ( x, h )  e 2 


J
n 
n
( x)h n
1) Differentiate G(x,h) (both sides) with respect to h
2) Use G(x,h), as well as the derivative you found above, to find a recursion
relationship for Bessel functions of order n, n+1, and n+2. Hint: you will need to
shift summations.