Article ID Journal Published Year Pages File Type
9509691 Journal of Computational and Applied Mathematics 2005 17 Pages PDF
Abstract
The lowering operator σ associated with a polynomial set {Pn}n⩾0 is an operator not depending on n and satisfying the relation σ(Pn)=nPn-1. In this paper, we express explicitly the connection coefficients between two polynomial sets using their corresponding lowering operators. We obtain some well-known results as particular cases including some duplication and addition formulas.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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