Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

In some studies involving numerical responses from human subjects (for instance, time allocation studies, and age reporting) an effect called "heaping" is observed. In many cases, such data must be ...

In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities follow. Applying these properties, the ...