3 papers
math.PR2025
On limiting distributions of Graham, Knuth, Patashnik recurrences
Pawel Hitczenko
Graham, Knuth and Patashnik in their book Concrete Mathematics called for development of a general theory of the solutions of recurrences defined by $$\left|{ n\atop k}\right|=(αn+…
math.CO2024
A class of polynomial recurrences resulting in -asymptotic normality
Paweł Hitczenko
We consider sequences of polynomials that satisfy differential-difference recurrences. Polynomials satisfying such recurrences frequently appear as generating polynomials of intege…
math.PR2011
Asymptotic normality through factorial cumulants and partitions identities
Konstancja Bobecka, Pawel Hitczenko, Fernando Lopez-Blazquez +2
In the paper we develop an approach to asymptotic normality through factorial cumulants. Factorial cumulants arise in the same manner from factorial moments, as do (ordinary) cumul…