Geodesic
Identities derived from noncrossing partitions of type \(B\)
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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Based on weighted noncrossing partitions of type $B$, we obtain type $B$ analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alternating sum of Narayana numbers of type $B$. Moreover, we find type $B$ analogues of the refinements of Coker's identities due to Chen, Deutsch and Elizalde. By combinatorial constructions, we provide type $B$ analogues of three identities of Mansour and Sun also on the Narayana polynomials.
DOI : 10.37236/616
Classification : 05A15, 05A19
Mots-clés : weighted noncrossing partitions, Coker's identities on the Narayana polynomials 
@article{10_37236_616,
     author = {William Y. C. Chen and Andrew Y. Z. Wang and Alina F. Y. Zhao},
     title = {Identities derived from noncrossing partitions of type {\(B\)}},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/616},
     zbl = {1225.05017},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/616/}
}
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William Y. C. Chen; Andrew Y. Z. Wang; Alina F. Y. Zhao. Identities derived from noncrossing partitions of type \(B\). The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/616

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