General Mathematics, Vol. 9,nr. 1-2, 2001

Emil C. Popa - Note on a class of delta operators

Abstract:

Let Q be a delta operator with basic set (pn), and

An(x) = x(x + nb)^n-1 ; n = 1, 2, ...

For each natural number n, n ³ 1 let us consider the delta operator defined on

 (1) α _n,Q = Q(Q + nbI^)n-1  b≠ 0:

The purpose of this paper is to give a representation theorem for basic set (qm)

relative to αn,D and we define a linear operator tn,D whence we obtain the Rn,a

and αn,D operators (see [1], [2]).

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