A Note on Generalized Bell-Appell Polynomials
DOI:
https://doi.org/10.62298/advmath.8Keywords:
Bell Polynomials, Generalized Bell Polynomials, Appell Polynomials, Bernoulli Polynomials, Euler Polynomials, Generating Function, Determinant RepresentationAbstract
This paper aims to establish a new hybrid class of special polynomials, namely, the generalized Bell-Appell polynomials. The idea of the monomiality principle is used to construct the generating function for the generalized Bell-Appell polynomials. Certain related identities and properties are also considered. The determinant representation is also derived. Further, we present some special cases of generalized Bell-Appell family and investigate the corresponding results.
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