On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6075
Abstract: We define and study the multidimensional Appell polynomials associated with theta functions. For the trivial theta functions, we obtain the various well‐known Appell polynomials. Many other interesting examples are given. To push our study, by… read more here.
Keywords: zeta functions; appell polynomials; multidimensional appell; theta functions ... See more keywords
Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
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