Derivative polynomials and permutations by numbers of interior peaks and left peaks

Details Derivative polynomials and permutations by numbers of interior peaks and left peaks Derivative polynomials and permutations by numbers of interior peaks and left peaks

2011-06-27

arxiv.org/abs/1106.5781v2

Mathematics

Combinatorics

12 pages

Scientific paper

Derivative polynomials in two variables are defined by repeated differentiation of the tangent and secant functions. We establish the connections between the coefficients of these derivative polynomials and the numbers of interior and left peaks over the symmetric group. Properties of the generating functions for the numbers of interior and left peaks over the symmetric group, including recurrence relations, generating functions and real-rootedness, are studied.

Affiliated with

Also associated with

No associations

Rating

Derivative polynomials and permutations by numbers of interior peaks and left peaks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivative polynomials and permutations by numbers of interior peaks and left peaks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivative polynomials and permutations by numbers of interior peaks and left peaks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-42090