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# Generalizations of Chung-Feller theorem

@inproceedings{Yeh2009GeneralizationsOC, title={Generalizations of Chung-Feller theorem}, author={Yeong-Nan Yeh}, year={2009} }

- Published 2009

In this paper, we develop a method to find Chung-Feller extensions for three kinds of different rooted lattice paths and prove Chung-Feller theorems for such lattice paths. In particular, we compute a generating function S(z) of a sequence formed by rooted lattice paths. We give combinatorial interpretations to the function of Chung-Feller type S(z)−yS(yz) 1−y for the generating function S(z). Using our method, we first prove Chung-Feller theorems of up-down type for three kinds of rooted… CONTINUE READING