Rational generalized Stieltjes functions

Authors : Ivan KOVALYOV

Pages : 154-167

Doi:10.33205/cma.1116322

View : 14 | Download : 8

Publication Date : 2022-09-15

Article Type : Research Paper

Abstract :The rational meromorphic functions on $\mathbb{C}\backslash\mathbb{R}$ are studied. We consider the some classes of one, as the generalized Nevanlinna $\mathbf{N}_{\kappa}$ and generalized Stieltjes $\mathbf{N}_{\kappa}^{k}$ classes. By Euclidean algorithm, we can find indices $\kappa$ and $k$, i.e. determine which class the function belongs to $\mathbf{N}_{\kappa}^{k}$.
Keywords : rational function, generalized Nevanlinna function, generalized Stieltjes function