E. G. Smoljanova, A. G. Smolyanov, “Cyclic properties of roots of algebraic second order equations”, Math. Ed., 2018, Issue 3(87),Pages <nobr>32

Students and teachers of mathematical specialties

Cyclic properties of roots of algebraic second order equations

E. G. Smoljanova, A. G. Smolyanov

Ogarev Mordovia State University

Abstract: Consider a sequence of quadratic equations whose coefficients are related trough certain recurrent formulas. The properties of the corresponding sequence of roots are studied.

Keywords: sequence of square equations, recurrence relations between coefficients, limiting behavior of pairs of roots.

UDC: 512.622