An Eneström-Kakeya Theorem with Monotonicity Conditions on the Even- and Odd-Indexed Coefficients of a Polynomial
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DOI: 10.3390/axioms14090651
Abstract: The classical Eneström–Kakeya theorem states that an n-degree polynomial p(z)=∑k=0nakzk with real coefficients satisfying 0≤a0≤a1≤⋯≤an has all of its zeros in |z|≤1 in the complex plane. Numerous generalizations of this result exist, many of them… read more here.
Keywords: indexed coefficients; kakeya theorem; enestr kakeya; even odd ... See more keywords