On the zeros of a certain class of polynomials and related analytic functions
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Publication:1144686
DOI10.1016/0022-247X(80)90097-9zbMath0444.30006MaRDI QIDQ1144686
Publication date: 1980
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Inequalities for trigonometric functions and polynomials (26D05)
Related Items (13)
On the zeros of polar derivative of polynomials with restricted coefficients ⋮ Generalization of an Eneström-Kakeya type theorem to the quaternions ⋮ Some refinements of Enestrom-Kakeya theorem ⋮ Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients ⋮ A unifying framework for generalizations of the Eneström-Kakeya theorem ⋮ On the zero bounds of polynomials and regular functions of a quaternionic variable ⋮ Unnamed Item ⋮ On Eneström-Kakeya theorem and related analytic functions ⋮ On the number of zeros of a polynomial in a region ⋮ On zeros of the regular power series of a quaternionic variable ⋮ An Eneström–Kakeya theorem for new classes of polynomials ⋮ Restrictions on the zeros of a polynomial as a consequence of conditions on the coefficients of even powers and odd powers of the variable ⋮ The number of zeros of a polynomial in a disk
Cites Work
- Zeros of polynomials and fractional differences of their coefficients
- Location of the Zeros of Polynomials
- Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
- Proof of a conjecture of P. Erdös on the derivative of a polynomial
- On Kakeya's Theorem
- On the Eneström-Kakeya theorem
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