The regular cyclic matrix of an isolated singular point of the Sturm–Liouville equation of the standard form

For the Sturm–Liouville equation of the standard form, we examine properties of the transfer matrix $\hat{C}$ along a closed path starting at a point $z_0$ and going counterclockwise around the boundary of a convex domain containing exactly one singular point $z_s$ of the potential (the boundary of the domain does not contain singular points). The main attention is paid to the study of singular points that are not branching points; we prove that in this case, if the trace of the matrix $\hat{C}$ is not equal to two, then all its elements are entire functions of the spectral parameter of order $1/2$ and type $2|z_0 - z_s|$ with a trigonometric indicator.