Abstract
In this part the relations between the theory of binomial systems for noncommuting variables (of part II) and the results ofRota, Cigler et al. for the commutative case are studied in some detail. Afterwards for binomial systems of diagonal type there are given generalizations of the Rodrigues formula and the theorem ofLagrange-Good. A short development of Sheffer sequences follows. Finally the results are extended to binomial systems the structure of which is determined by any partial order of linear type.
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Baron, G., Kirschenhofer, P. Operatorenkalkül über freien Monoiden III: Lagrangeinversion und Sheffersysteme. Monatshefte für Mathematik 92, 83–103 (1981). https://doi.org/10.1007/BF01303742
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DOI: https://doi.org/10.1007/BF01303742