This preview shows page 1. Sign up to view the full content.
Unformatted text preview: e.g. p.209 of our text). (a) show that this is a SturmLiouville equation, and nd the orthogonality relation between the Chebyshev polynomials. (b) following what we did in class to solve Legendres equation, obtain the recursion relation for a power series solution to the Chebyshev equation and show that it truncates with the choice k = n 2 (where n is an integer), leading to the Chebyshev polynomials T n ( x ). 3. Derivative of the factorial? Using the denition of the gamma function ( n ), take the derivative d /dn . Can you write the answer in terms of other gamma functions?...
View
Full
Document
 Fall '06
 BELMONTE
 Calculus, Addition

Click to edit the document details