1994
DOI: 10.1006/jmaa.1994.1281
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New Approaches to Certain Identities Involving Differential Operators

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Cited by 35 publications
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“…We now recall the operator ρ(1+ρD)D=ddρ, which was used by Al‐Salam 27 and, more recently, by Viskov and Srivastava 28 (see Srivastava and Manocha 29,30 ). Here, in our Example 3 below, we use this operator in conjunction with the Bernstein polynomials.…”
Section: Korovkin‐type Theorems For Martingale Sequencesmentioning
confidence: 99%
“…We now recall the operator ρ(1+ρD)D=ddρ, which was used by Al‐Salam 27 and, more recently, by Viskov and Srivastava 28 (see Srivastava and Manocha 29,30 ). Here, in our Example 3 below, we use this operator in conjunction with the Bernstein polynomials.…”
Section: Korovkin‐type Theorems For Martingale Sequencesmentioning
confidence: 99%
“…which was applied by Al-Salam [40] and, in the recent past, by Viskov and Srivastava [41] (see also [42,43], and the monograph by Srivastava and Manocha [44] for various general families of operators and polynomials of this kind). Here, in our Example 2 below, we use this operator in conjunction with the Meyer-König and Zeller operators.…”
Section: Theorem 2 Letmentioning
confidence: 99%
“…I. Further, denoting the operator of the so-called Laguerre derivative by β = DxD and its companion θ = xDx [10], where D is the differential operator D = d dx , we calculate them n-th power, appealing to the Viskovtype identities [8] β n = (DxD) n = D n x n D n , θ n = (xDx) n = x n D n x n , n ∈ N 0 .…”
Section: )mentioning
confidence: 99%