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Congruences on the Bell polynomials and the derangement polynomials
Bell polynomials Derangement polynomials Stirling numbers Congruences
2010/12/7
In this note, by the umbra calculus method, the Sun and Zagier’s congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences ar...
Derangement Polynomials and Excedances of Type B
signed permutation q-derangement polynomial of type B Eulerian polynomial of type B spiral property limiting distribution
2014/6/3
Based on the notion of excedances of type B introduced by Brenti, we give a type B analogue of the derangement polynomials. The connection between the derangement polynomials and Eulerian polynomials ...