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Some properties of the E l n ( r ) polynomials

Some properties of the E l n ( r ) polynomials We present a new class of polynomials that are solutions of the generalized Laplace differential equation, written in spherical coordinates. Differentiation properties, orthogonality, Rodrigues like formula, recurrence relations, generating functions and an integral representation are discussed. As applications we recover the results associated with E n ( r ) polynomials and present the solution of Dirac like equation in terms of this new class of polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Random Operators and Stochastic Equations de Gruyter

Some properties of the E l n ( r ) polynomials

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Publisher
de Gruyter
Copyright
© de Gruyter 2007
ISSN
0926-6364
eISSN
1539-397x
DOI
10.1515/rose.2007.023
Publisher site
See Article on Publisher Site

Abstract

We present a new class of polynomials that are solutions of the generalized Laplace differential equation, written in spherical coordinates. Differentiation properties, orthogonality, Rodrigues like formula, recurrence relations, generating functions and an integral representation are discussed. As applications we recover the results associated with E n ( r ) polynomials and present the solution of Dirac like equation in terms of this new class of polynomials.

Journal

Random Operators and Stochastic Equations – de Gruyter

Published: Nov 20, 2007

Keywords: Laplace equation; Dirac equation; polynomial solutions; generating function

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