Orthogonal properties of associated laguerre polynomial

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SUMMARY

The discussion focuses on the derivation of the orthogonal properties of associated Laguerre polynomials, specifically emphasizing the application of Sturm-Liouville theory. The weight function relevant to this derivation is confirmed to be e-x. Participants seek resources that provide clear, step-by-step explanations to facilitate understanding of these mathematical concepts.

PREREQUISITES
  • Understanding of Sturm-Liouville theory
  • Familiarity with associated Laguerre polynomials
  • Knowledge of orthogonality in mathematical functions
  • Basic calculus and differential equations
NEXT STEPS
  • Research the derivation of associated Laguerre polynomials
  • Study Sturm-Liouville problems and their applications
  • Explore the concept of orthogonality in polynomial functions
  • Examine the properties of weight functions in orthogonal polynomials
USEFUL FOR

Mathematicians, students studying advanced calculus, and researchers interested in orthogonal polynomials and their applications in physics and engineering.

Arafat Sagar
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i need the derivation of orthogonal properties of associated laguerre polynomial (with intermediate steps). someone please tell me where can i get it (for easy understanding).
 
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I'm pretty sure you just appeal to usual Sturm Liouville Orthogonality, just work out the weight function which I think is e^(-x) but haven't looked at in a while.
 

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