We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt ...

Our glycemic balance is based on the ability of the pancreatic beta cells to detect glucose and secrete insulin to maintain our blood sugar levels. If these cells malfunction, the balance is broken, ...

In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, nd logarithmically complete monotonicity of these ...

In preclinical models, rat insulinoma‑derived beta‑cell line INS‑1 (INS‑1) cells and mouse islets showed rapid, robust ...

Blood is made up of plasma and solid components. Of these, the larger part is plasma, comprising about 55%. It appears as a straw-colored fluid and is composed mainly of water, but also carries ...