Abstract
We study Stirling permutations defined by Gessel and Stanley in [J. Combin. Theory Ser. A, 24 (1978), pp. 25-33]. We prove that their generating function according to the number of descents has real roots only. We use that fact to prove that the distribution of these descents and other equidistributed statistics on these objects converge to a normal distribution.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
