Gardner, R.; Gladin, M. The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions. AppliedMath2023, 3, 722-729.
Gardner, R.; Gladin, M. The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions. AppliedMath 2023, 3, 722-729.
Gardner, R.; Gladin, M. The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions. AppliedMath2023, 3, 722-729.
Gardner, R.; Gladin, M. The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions. AppliedMath 2023, 3, 722-729.
Abstract
Motivated by results on the location of zeros of a complex polynomial with monotonicity conditions on the coefficients (such as the classical Eneström-Kakeya Theorem, and its recent generalizations), we impose similar conditions and give bounds on the number of zeros in certain regions. We do so by introducing a reversal in monotonicity conditions on the real and imaginary parts of the coefficients, and also on their moduli. The results presented naturally apply to certain classes of lacunary polynomials.
Copyright:
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