How is Rodrigue's Formula Derived?

danny12345 · Sep 30, 2015

View attachment 4812
how do we derive rodrigue's formula

Sudharaka · Sep 30, 2015

dansingh said:

how do we derive rodrigue's formula

Hi dansingh,

Welcome to MHB! The method of deriving this is given at this link;

Legendre polynomials and Rodrigues' formula

Let us know if you have any further questions with the derivation. :)

danny12345 · Oct 5, 2015

n(x)=(x2-1)n. (20)

By differentiation we see that it satisfies the following first order differential equation,
(1-x2)f'n+2nxfn=0.
how did you get itb pleasez explain me the differentiation part

How is Rodrigue's Formula Derived?

Attachments

Discussion

How is Rodrigue's Formula Derived?

Attachments

Discussion

Similar threads

Graduate Difference between generating function and Rodrigue's formula?

Undergrad Rodrigues' Formula for Laguerre equation

Graduate Proving using rodrigue's formula (a very challenging question)

Graduate Derivation for Rodrigues formula (orthogonal polynomials)

Graduate How Does the Rodrigues' Formula Assist in Integrating Legendre Polynomials?

Undergrad How was this formula derived? (Electromagnetic)

Rodrigues’ formula of Laguerre

Problem about Rodrigues' formula and Legendre polynomials

Graduate Margules' Power Series Formula: Deriving Coefficients

Graduate How Is Stoke's Drag Formula Derived Beyond Dimensional Analysis?