Information on some recent applications of umbral extensions to discrete mathematics
<|reference_start|>Information on some recent applications of umbral extensions to discrete mathematics: 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 .<|reference_end|>
@article{kwasniewski2004information,
    title={Information on some recent applications of umbral extensions to discrete
  mathematics},
    author={A.K.Kwasniewski},
    journal={Review Bulletin of Calcutta Mathematical Society Vol. 13 (2005)
  1-10},
    year={2004},
    archivePrefix={arXiv},
    eprint={math/0411145},
    primaryClass={math.CO cs.DM}
}