# Legendre equation , the Bessel equation and Sturm Liouville equation

by mano0or
Tags: bessel, equation, legendre, liouville, sturm
 P: 3 Show that the Legendre equation as well as the Bessel equation for n=integer are Sturm Liouville equations and thus their solutions are orthogonal. How I can proove that ..? :(
 PF Patron P: 985 Can you put it in sturm-liouville form?
 P: 3 Yes ... see . this is the form of Sturm Liouville and this table help me i found the mathematical explain for bessel . but i don't know how i can prove thier solutions are orthogonal ..! can you help me
PF Patron
P: 985

## Legendre equation , the Bessel equation and Sturm Liouville equation

Did you post the problem exactly? If so, as I interpret it, you do not need to prove that yourself. It is well known that the solutions to sturm-liouville problems are orthogonal and the proof can be found in any mathematical methods book.
 P: 3 yea i understand that hour before .. i wasn't have enough information about sturm-liouville or maybe my brain stopped thanks :)

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