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160 Seiten, Erscheinungsjahr: 2021

Preis: 29.00 €

Their
fundamental recurrences and inverse relations are examined in detail
and shown to be directly related to corresponding identities for the
Stirling numbers. The following topics are also covered: polynomial
families that can be represented by Bell polynomials; inversion
formulas, in particular of Schlömilch-Schläfli type; applications to
binomial sequences; new aspects of the Lagrange inversion, and, as a
highlight, reciprocity laws, which unite a polynomial family and that
of orthogonal companions. Besides a
*Mathematica*(R) package and an extensive
bibliography, additional material is compiled in a number of notes and
supplements.

Alfred Schreiber was born in Düsseldorf (Germany) in 1946, studied mathematics and philosophy, and received his doctorate from the University of Cologne in 1974. He held post-doc positions at the Pädagogische Hochschule Rheinland and, after habilitation in 1981, as ``Privatdozent'' at the RWTH Aachen. After a two-year interlude as a software developer in the private sector, he received a full professorship at the University of Flensburg in 1986, where he taught and researched for more than two decades. His interests include epistemological topics in mathematics education, media informatics, enumerative combinatorics, and a wide range of interdisciplinary aspects of mathematics. He is also active as a literary author and translator. Two anthologies of mathematical poems edited by him have been published in 2010/12 by Springer Verlag.

- Algebra
- Combinatorics
- Polynomials
- Inversion
- Reciprocity

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