Binomial convolution and transformations of Appell polynomials
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DOI: 10.1016/j.jmaa.2017.06.077
Abstract: Abstract We show that the set A of Appell sequences is an abelian group under the binomial convolution. This is essentially equivalent to other approaches considered in the literature, in particular, the determinantal approach. We… read more here.
Keywords: binomial convolution; convolution transformations; convolution; appell polynomials ... See more keywords
Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
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DOI: 10.1515/math-2024-0089
Abstract: Abstract In this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered. To… read more here.
Keywords: dirichlet character; divisor functions; character modulo; binomial convolution ... See more keywords