Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality
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DOI: 10.3390/math13060955
Abstract: In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced. These polynomials are studied by means of generating functions, series expansions, and determinant representation. Further, by utilizing… read more here.
Keywords: three variable; legendre based; appell; variable legendre ... See more keywords
Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties
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DOI: 10.3390/math13061009
Abstract: This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,… read more here.
Keywords: fubini bell; based appell; bell based; appell polynomials ... See more keywords