In order to understand the behavior of Bessels differential equation as z , let x = 1/z
Chapter 7, Problem 7.8.11(choose chapter or problem)
In order to understand the behavior of Bessels differential equation as z , let x = 1/z. Show that x = 0 is a singular point, but an irregular singular point. [The asymptotic solution of a differential equation in the neighborhood of an irregular singular point is analyzed in an unmotivated way in Exercise 7.8.10. For a more systematic presentation, see advanced texts on asymptotic or perturbation methods (such as Bender and Orszag, 1999).]
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