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LSN/MM-13 Applications of The Rodriguez Formula

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Objectives

 To present examples of the derivation of different properties, such as

  • expression for  the generating function
  • proof of othogonality,
  • derivation of normalization

starting from the Rodriguez formula,

Syllabus

Establish the relationship of the Rodriguez formula with other properties of the orthogonal polynomials.

Prerequisites

Rodriguez formula for different orthogonal polynomials;
A general introduction to different properties of the orthogonal polynomials.

References

Dennery P. and Kryzywicki, Mathematics for Physicists,


 

  1. Deriving Generating Function using Rodriguez formula      
  2. General treatment based on Rodriguez Formula
  3. Rodriguez formula and classical orthogonal Polynomials

 

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