✦ LIBER ✦
Laguerre polynomials: novel properties and numerical generation scheme for analysis of a discrete probability distribution
✍ Scribed by Carlos U. Pabon-Ortiz; M. Artoni
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 447 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
We compute a quantum mechanical probability distribution expressed as a series of generalized Laguerre polynomials. A method for the numerical generation of the polynomials of any integer order is given. Two new properties of these polynomials are derived to reduce the distribution to a closed form expression involving only a single polynomial and to devise a criterion for studying the accuracy of the generation procedure.