Construction of hybrid form of h-Appell polynomials

JOURNAL OF ANALYSIS(2024)

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摘要
In this article, a hybrid form of Delta(h)-Appell polynomials, namely the Delta(h)-Frobenius-Euler-Appell polynomials is investigated. The generating function, recurrence relation, explicit representations and implicit formulas involving Delta(h)-Frobenius-Euler-Appell polynomials is obtained. The Delta(h)-Frobenius-Euler-Appell polynomials are framed within the context of quasi-monomial principle. The determinant form for these polynomials are explored. Further, certain examples are considered as the special cases of Delta(h)-Frobenius-Euler-Appell polynomials.
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关键词
Delta(h)-Appell polynomials,Frobenius-Euler polynomials,Quasi-monomiality,Determinant form
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