On a 2-Orthogonal Polynomial Sequence via Quadratic Decomposition
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-020-00468-y
Abstract: We apply a symbolic approach of the general quadratic decomposition of polynomial sequences—presented in a previous article referenced herein—to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals $$u_{0},u_{1}$$ u 0 , u 1… read more here.
Keywords: polynomial sequences; orthogonal polynomial; polynomial sequence; quadratic decomposition ... See more keywords
A characterization of the exponential symmetric Sheffer sequences
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DOI: 10.1080/10652469.2020.1763984
Abstract: ABSTRACT A polynomial sequence is symmetric, or self-dual, if for all . In this paper, we give the characterization of the exponential symmetric Sheffer sequences with weight sequences, and show that all the symmetric Sheffer… read more here.
Keywords: characterization exponential; symmetric sheffer; polynomial sequence; sheffer sequences ... See more keywords
On some m-symmetric generalized hypergeometric d-orthogonal polynomials
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DOI: 10.2298/fil2404279b
Abstract: In [9] I. Lamiri and M. Ouni state some characterization theorems for d-orthogonal polynomials of Hermite, Gould-Hopper and Charlier type polynomials. In [3] Y. Ben Cheikh I. Lamiri and M.Ouni give a characterization theorem for… read more here.
Keywords: polynomial sequence; orthogonal polynomials; class; gould hopper ... See more keywords