Neuroendoscopy-Assisted Evacuation of Chronic Subdural Hematoma with Mixed CT Density Through A Novel Small Bone Flap.

Objective:  Chronic subdural hematoma (CSDH) is a common neurosurgical condition with an increasing incidence and favorable prognosis. Surgery is the standard treatment for CSDH, and bur hole evacuation is the most widely employed technique. However, if mixed computed tomography (CT) density is found, burr hole hematoma evacuation is prone to recurrence.

Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions.

In the paper, by virtue of the binomial inversion formula, a general formula of higher order derivatives for a ratio of two differentiable function, and other techniques, the authors compute several sums in terms of the beta function and its partial derivatives, polygamma functions, the Gauss hypergeometric function, and a determinant. These results generalize known ones in combinatorics.