Discussion Overview
The discussion revolves around finding Legendre Polynomials of order 15 and above. Participants explore various methods for obtaining these polynomials, including recursion formulas and software tools.
Discussion Character
- Exploratory, Technical explanation, Homework-related
Main Points Raised
- One participant requests a list of Legendre Polynomials of order 15 and above, indicating difficulty in finding such resources online.
- Another suggests using recursion formulas to derive the polynomials, noting that high-order polynomials are not commonly listed.
- A different participant mentions that Mathematica can be used to obtain these polynomials and offers to assist further if more specific information is provided.
- One participant recommends searching online for references, providing links to resources that may contain relevant information.
- A participant questions whether Rodrigues' formula can be used to derive the coefficients of the terms in the polynomials.
- Another participant shares the explicit form of the 14th order Legendre Polynomial, showcasing a specific example of the polynomial's coefficients.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the availability of Legendre Polynomials of order 15 and above, with multiple suggestions and methods proposed without agreement on a single solution.
Contextual Notes
Some methods mentioned depend on access to specific software or online resources, and there may be limitations in the availability of high-order polynomials in standard references.
Who May Find This Useful
This discussion may be useful for students or researchers looking for methods to obtain high-order Legendre Polynomials, particularly those interested in mathematical physics or applied mathematics.