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Objectives
To present examples of applying generating function to
- prove of orthogonality of classical orthogonal polynomials
- derive normalization
- compute integrals involving the orthogonal polynomials
Taking different orthogonal polynomials as examples, To present d
Syllabus
Applications of generating function
Prerequisites
Elementary calculus;
Familiarity with the concept of a generating function;
References
Dennery P. and Kryzywicki, Mathematics for Physicists,
- Recurrence relations for Hermite Polynomials
- Orthogonality and Normalization of Hermite Polynomials
- Normalization for Legendre Polynomials
- Miscellaneous Applications of Generating Function
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