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Corpus ID: 221819072

Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions.

@article{Schreiber2020InverseRA,
title={Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions.},
author={A. Schreiber},
journal={arXiv: Combinatorics},
year={2020}
}

The objective of this paper is, in the main, twofold: Firstly, to develop an algebraic setting for dealing with Bell polynomials and related extensions. Secondly, based on the author's previous work on multivariate Stirling polynomials (arXiv:1311.5067), to present a number of new results affecting different types of inverse relationships, among these (1) the use of multivariable Lah polynomials for characterizing self-orthogonal families of polynomials that can be represented by Bell… CONTINUE READING