The Laguerre inequality and determinantal inequality for the broken $k$-diamond partition function

Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Cites Work

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Congruences for broken $k$-diamond partitions
Infinite families of strange partition congruences for broken 2-diamonds
Broken 2-diamond partitions modulo 5
Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
Log-concavity of the partition function
Jensen polynomials and the Turán and Laguerre inequalities
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On a class of nonlinear differential operators acting on polynomials
Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre $n$
Über die algebraisch-funktionentheoretischen Untersuchungen von J. L. W.Jensen.
$r$-log-concavity of partition functions
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Jensen polynomials for the Riemann xi-function
On a new class of Laguerre-Pólya type functions with applications in number theory
A note on the higher order Turán inequalities for $k$-regular partitions
Hyperbolicity of the partition Jensen polynomials
Laguerre inequalities for discrete sequences
Inequalities for the modified Bessel function of first kind of non-negative order
Higher order Laguerre inequalities for the partition function
Inequalities for the broken $k$-diamond partition functions
Higher order Turán inequalities for the Riemann $\xi$-function
MacMahon's partition analysis XI: Broken diamonds and modular forms
On recent congruence results of Andrews and Paule for broken k-diamonds
The Riemann Hypothesis and the Turan Inequalities
Higher order Turán inequalities
Determinantal inequalities for the partition function
Higher order Turán inequalities for the partition function
Exact lower and upper bounds on the incomplete gamma function
Jensen polynomials for the Riemann zeta function and other sequences
The spt-function of Andrews
Positivity of the determinants of the partition function and the overpartition function
Turán inequalities for the broken $k$-diamond partition functions

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The Laguerre inequality and determinantal inequality for the broken \(k\)-diamond partition function