MAT 212 Lecture Notes - Lecture 22: Bessel Function
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8. 6 representing functions with power series notes: sterling. Provide a generalization to each of the key terms listed in this section. The following is the general example is how to get power series representations when it comes to fractions: n=0 mn = 1 + m + m2 + m3 + . It would best if you let the following occur: If that is the case, then perform the following substitution: m = x. If that is the case, then the following would be the proper series: If that is the case, then the following would be the interval of convergence: X < 1 ( 1) > 1 x > 1 ( 1) X ( 1) < 1 ( 1) x < 1. It would be best if you let the following have a radius of convergence where r > 0: If that is the case, then the following would be the proper de ned function:
