Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 27 :  Series of functions [Section 27.1]
6.
Bessel functions of order one:
 

Consider the power series

.

(i)

Show that the series convergence for all .

(ii)
If denote the sum of this series, show that
(iii)
Show that
 

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