Information on some recent applications of umbral extensions to discrete mathematics
Combinatorics
2016-09-07 v2 Discrete Mathematics
Abstract
At the first part of the paper we show how specific umbral extensions of the Stirling numbers of the second kind result in new type of Dobinski-like formulas. In the second part among others one recovers how and why Ward solution of uncountable family of extended difference calculus nonhomogeneous equations extends to Ward-Appell polynomials case . Illustrative specifications to q-calculus case and fibonomial calculus case are made explicit due to the usage of the so called upside down notation for objects of extended finite operator calculus .
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Cite
@article{arxiv.math/0411145,
title = {Information on some recent applications of umbral extensions to discrete mathematics},
author = {A. K. Kwasniewski},
journal= {arXiv preprint arXiv:math/0411145},
year = {2016}
}
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14 pages