The peak statistics on simsun permutations

Abstract

In this paper, we study the relationship among left peaks, interior peaks and up-down runs of simsun permutations. Properties of the generating polynomials, including the recurrence relation, generating function and real-rootedness are studied. Moreover, we introduce and study simsun permutations of the second kind.

13 pages

References in corpus (2)

• The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
• Cycle up-down permutations

Cited by in corpus (1)

• Simsun permutations, simsun successions and simsun patterns