5 citations · 17 across the 12 of their papers we have counts for
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Lattice paths and branched continued fractions. III. Generalizations of the Laguerre, rook and Lah polynomials
Bishal Deb, Alexander Dyachenko, Mathias Pétréolle +1
We introduce a triangular array of 5-variable homogeneous polynomials that enumerate Laguerre digraphs (digraphs in which each vertex has out-degree 0 or 1…
Coefficientwise Hankel-total positivity of the Schett polynomials
Bishal Deb, Alan D. Sokal
We prove the coefficientwise Hankel-total positivity of the even and odd subsequences of Schett polynomials .
A remark on continued fractions for permutations and D-permutations with a weight per cycle
Bishal Deb, Alan D. Sokal
We show that very simple continued fractions can be obtained for the ordinary generating functions enumerating permutations or D-permutations with a large number of independent sta…
Continued fractions using a Laguerre digraph interpretation of the Foata--Zeilberger bijection and its variants
Bishal Deb
In the combinatorial theory of continued fractions, the Foata--Zeilberger bijection and its variants have been extensively used to derive various continued fractions enumerating se…
Continued fractions for cycle-alternating permutations
Bishal Deb, Alan D. Sokal
A permutation is said to be cycle-alternating if it has no cycle double rises, cycle double falls or fixed points; thus each index is either a cycle valley ()…