2 citations · 2 across the 6 of their papers we have counts for
13 papers
Asymptotic Normality of the Coefficients of the Morgan-Voyce Polynomials
Moussa Benoumhani, Bernhard Heim, Markus Neuhauser
We study arithmetic and asymptotic properties of polynomials provided by with initial value . The coefficients satisfy a central…
Turán inequalities from Chebyshev to Laguerre polynomials
Bernhard Heim, Markus Neuhauser, Robert Troeger
Let and be real-valued arithmetic functions, positive and normalized. Specific choices within the following general scheme of recursively defined polynomials \begin{equatio…
Inequalities for Plane Partitions
Bernhard Heim, Markus Neuhauser, Robert Tröger
Inequalities are important features in the context of sequences of numbers and polynomials. The Bessenrodt--Ono inequality for partition numbers and Nekrasov--Okounkov polynomials…
Proof of the Bessenrodt--Ono inequality by Induction
Bernhard Heim, Markus Neuhauseer
In 2016 Bessenrodt--Ono discovered an inequality addressing additive and multiplicative properties of the partition function. Generalization by several authors have been given; on…
Asymptotic Distribution of the Zeros of recursively defined Non-Orthogonal Polynomials
Bernhard Heim, Markus Neuhauser
We study the zero distribution of non-orthogonal polynomials attached to : \begin{equation*} Q_n^g(x)= x \sum_{k=1}^n g(k) \, Q_{n-k}^g(x), \quad Q_0^g(x):=1. \end{e…
Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series
Bernhard Heim, Markus Neuhauser
In this paper we give a classification of the asymptotic expansion of the -expansion of reciprocals of Eisenstein series of weight for the modular group $\func{SL}_2(\…