MTH 251 Lecture Notes - Lecture 29: Bessel Function

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MTH251-Lecture 29 Notes-Power Series
Consider,

We want to represent this as a power series







For 
 




Differentiation and integration of power series
If f(x) has a power series representation
 whose domain is the set of a, x
such that the series converges, then we would like to be able to differentiate and integrate f.
The following theorem tells us how
Theorem: Term-by-term differentiation and integration of power series
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