Linearization coefficients for Sheffer polynomial sets via lowering operators

نویسندگان

  • Youssèf Ben Cheikh
  • H. Chaggara
چکیده

The lowering operator σ associated with a polynomial set {P n } n≥0 is an operator not depending on n and satisfying the relation σP n = nP n−1. In this paper, we express explicitly the linearization coefficients for polynomial sets of Sheffer type using the corresponding lowering operators. We obtain some well-known results as particular cases.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006