5 papers
Order-Degree-Height Surfaces for Linear Operators
Hui Huang, Manuel Kauers, Gargi Mukherjee
It is known for linear operators with polynomial coefficients annihilating a given D-finite function that there is a trade-off between order and degree. Raising the order may give…
Higher order log-concavity of the overpartition function and its consequences
Gargi Mukherjee, Helen W. J. Zhang, Ying Zhong
Let denote the overpartition function. In this paper, we study the asymptotic higher order -concavity property of the overpatition function in a similar framewor…
Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang
Gargi Mukherjee
Let denote the overpartition function. In this paper, our primary goal is to study the asymptotic behavior of the finite differences of the logarithm of the overp…
Inequalities for the overpartition function arising from determinants
Gargi Mukherjee
Let denote the overpartition funtion. This paper presents the --concavity property of by considering a more general inequality of the f…
Log-convexity and the overpartition function
Gargi Mukherjee
Let denote the overpartition function. In this paper, we obtain an inequality for the sequence which states th…