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Eigenvalue Problems and Special Functions

Abstract

In the preceding chapter, we determined the solutions of partial differential equations by the method of separation of variables. In this chapter, we generalize the method of separation of variables and the associated eigenvalue problems. This generalization, usually known as the Sturm-Liouville theory, greatly extends the scope of the method of separation of variables.

Keywords

Eigenvalue Problem Liouville Equation Bessel Equation Linear Harmonic Oscillator Lagrange Identity 
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Copyright information

© Birkhäuser Boston 2007

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