Considering singular Sturm--Liouville differential expressions of the type \[ \tau_{\alpha} = -(d/dx)x^{\alpha}(d/dx) + q(x), \quad x \in (0,b), \; \alpha \mathbb{R}, \] we employ some Sturm comparison-type results in spirit Kurss to derive criteria for $\tau_{\alpha}$ be limit point and circle case at $x=0$. More precisely, if $\alpha \mathbb{R}$ $0 0$ such that $0<x$ sufficiently small, \begi...

actins are small globular filaments functioning in cell processes like muscle contraction, and stabilized to the sarcomeric z- discs by actin binding proteins (actinins). one of the important gene coding for actin binding proteins in fast twitch fibers is alpha- actinin- 3 (actn3). in this research, we have conducted a gene profile study investigating the genotype and allele distributions of ac...