English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove that the enumerative polynomials of generalized Stirlingpermutations by the statistics of plateaux, descents and ascents are partial$\gamma$-positive. Specialization of our result to the Jacobi-Stirlingpermutations confirms a recent partial $\gamma$-positivity conjecture due toMa, Yeh and the second named author. Our partial $\gamma$-positivity expansion,as well as a combinatorial interpretation for the corresponding$\gamma$-coefficients, are obtained via the machine of context-free grammarsand a group action on generalized Stirling permutations. Besides, we alsoprovide an alternative approach to the partial $\gamma$-positivity from thestability of certain multivariate polynomials.

Plateaux on generalized Stirling permutations and partial $\gamma$-positivity