Thread: Recurrence Relations for Laguerre Polynomials

The Laguerre polynomials are given by the explicit formula



Recall that the coefficients of the Laguerre polynomials can be calculated using the recurrence relation;

,

For fixed n use induction to prove the above summation formula.

I'm not too sure how to approach this question whether its through dummy variables or telescopic sums or whatever.
Help would be much be appreciated. Thank you

Originally Posted by iPod

The Laguerre polynomials are given by the explicit formula



Recall that the coefficients of the Laguerre polynomials can be calculated using the recurrence relation;

,

For fixed n use induction to prove the above summation formula.

I'm not too sure how to approach this question whether its through dummy variables or telescopic sums or whatever.
Help would be much be appreciated. Thank you

Use induction.

CB