Legendre Funcs: Homework & Equations Explained

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SUMMARY

The discussion focuses on the computation and understanding of Legendre functions, specifically Pnm(cos(theta)) and their normalized versions. The user is developing a program to compute these functions and seeks clarification on the recursion involved and the meaning of the subscripts n and m. The conversation emphasizes the need for a foundational function that utilizes the original Legendre equation and recursively calculates the values. Visual verification through plotting four normalized Legendre functions is also highlighted as a key step in the process.

PREREQUISITES
  • Understanding of Legendre functions and their mathematical properties
  • Familiarity with recursion in programming
  • Knowledge of plotting libraries for data visualization
  • Basic programming skills in a language suitable for numerical computation
NEXT STEPS
  • Research the mathematical definition and properties of Legendre functions
  • Learn about recursive function implementation in programming languages like Python or MATLAB
  • Explore libraries such as Matplotlib for plotting functions in Python
  • Study the normalization process for Legendre functions
USEFUL FOR

Students and researchers in mathematics and physics, programmers developing numerical computation tools, and anyone interested in the application of Legendre functions in computational projects.

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Homework Statement



Hi everyone, I am having issues understanding how Legendre functions work especially the recursion and what the subscripts mean in general. I am attempting to make a program to compute the legendre functions Pnm(cos(theta)) and the normalized version and then verifying it by plotting 4 normalized legendre functions.

I don't understand what to do with these equations to get to what I'm attempting to do they just confuse me to no end.

Homework Equations



http://img14.imageshack.us/img14/5976/legendre.png

Uploaded with ImageShack.us

I'm pretty sure I have to make a function to start with the original equation and then recursively go down. What do the subscripted n/m mean I'm confused on that as well xD
 
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