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On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f
On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f
О КРИТИЧЕСКИХ ЗНАЧЕНИЯХ ПОЛИНОМОВWe prove dual Smale's mean value conjecture in the cases n = 5 and n = 6.
Generalized interpolating polynomial operator An value and the values of trigonometric polynomial, constructed with the help of an operator An (φ; t
Smales problem for critical points on certain two raysLet f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical
Generalized interpolating polynomial operator An value and the values of trigonometric polynomial, constructed with the help of an operator An (φ; t
Determination of the polynomial uniformizing a given compact Riemann surface coverings of the Riemann sphere for which the uniformizing polynomial is known. The critical points
One class of equations solvable in radicalsWe derive recurrent formulas for obtaining minimal polynomials for values of tangents and show
Dual Smale's mean value conjecture© 2019 American Mathematical Society. We prove the dual Smale's mean value conjecture
Algorithmic Computation of Polynomial AmoebasWe present algorithms for computation and visualization
of polynomial amoebas, their contours
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