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<p>The main aim of this paper is to construct and emphasize certain properties of a new polynomial sequences called fractional Pascal appell polynomials associated with the infinite dimensional fractional Pascal measure by using the generalized appell system. The relationship between new polynomials and the orthogonal Bell polynomials has also been investigated.</p>

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Properties of the Fractional Pascal Appell Polynomials in Infinite Dimensional

  • 期刊论文

  • 发表日期：

    2025年9月18日

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  • Mohamed Rhaima

摘要

The main aim of this paper is to construct and emphasize certain properties of a new polynomial sequences called fractional Pascal appell polynomials associated with the infinite dimensional fractional Pascal measure by using the generalized appell system. The relationship between new polynomials and the orthogonal Bell polynomials has also been investigated.