2140 - Notes, Syllabus Section VI, lecture 40 (12/4/95)

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Differential Equations: Bessel's Equation

Introduction to Bessel, discussion of where equation arises, character of solutions

Method of Frobenius, particular solution = Jp(x)

Discussion of other solution (Weber, or Neumann function), which behaves badly at origin and hence isn't often used for physics

Sketches of Bessel functions, and their zero's.

Statement of orthogonality for Bessels, connection to orthogonality of sin's and cos's.

Large x dependence of Bessel functions


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