4 citations · 7 across the 7 of their papers we have counts for
7 papers
Counting permutations by alternating runs via Hetyei-Reiner trees
Qiongqiong Pan, Yunze Wang, Jiang Zeng
The generating polynomial of permutations of size , counted by the number of alternating runs, has a root at of multiplicity for all . Th…
-Catalan continued fractions, gamma expansions and pattern avoidances
Bin Han, Qiongqiong Pan
We introduce a kind of -Catalan numbers of Type A by generalizing the Jacobian type continued fraction formula, we proved that the corresponding expansions could be expr…
Enumeration of permutations by the parity of descent positions
Qiongqiong Pan, Jiang Zeng
Noticing that some recent variations of descent polynomials are special cases of Carlitz and Scoville's four-variable polynomials, which enumerate permutations by the parity of des…
A new combinatorial formula for alternating descent polynomials
Qiongqiong Pan
We prove a combinatorial formula for the alternating descent polynomials of type A and B. Combining with Josuat-Vergès' combinatorial interpretation for Hoffman's derivative polyno…
Cycles of even-odd drop permutations and continued fractions of Genocchi numbers
Qiongqiong Pan, Jiang Zeng
Recently, Lazar and Wachs (arXiv:1910.07651) showed that the (median) Genocchi numbers play a fundamental role in the study of the homogenized Linial arrangement and obtained two n…
Brändén's -Eulerian polynomials, André permutations and continued fractions
Qiong Qiong Pan, Jiang Zeng
In 2008 Brändén proved a -analogue of the -expansion formula for Eulerian polynomials and conjectured the divisibility of the -coefficient by .…
Combinatorics of -Laguerre polynomials and their moments
Qiongqiong Pan, Jiang Zeng
We consider a -analogue of Laguerre polynomials for integral , which turns out to be a rescaled version of Al-Salam--Chihara polynomials. A comb…