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Mathematical Education, 2018, Issue 3(87), Pages 32–37 (Mi mo647)  
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
Full-text PDF (250 kB)
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.
Document Type: Popular science or education materials
UDC: 512.622
Language: Russian
Citation: E. G. Smoljanova, A. G. Smolyanov, “Cyclic properties of roots of algebraic second order equations”, Math. Ed., 2018, no. 3(87), 32–37
Citation in format AMSBIB
\Bibitem{SmoSmo18}
\by E.~G.~Smoljanova, A.~G.~Smolyanov
\paper Cyclic properties of roots of algebraic second order equations
\jour Math. Ed.
\yr 2018
\issue 3(87)
\pages 32--37
\mathnet{http://mi.mathnet.ru/mo647}
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