On the zeros of a certain class of polynomials and related analytic functions

DOI10.1016/0022-247X(80)90097-9zbMath0444.30006MaRDI QIDQ1144686

Abdul Aziz, Q. G. Mohammad

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Bernstein's inequalityEnestrom-Kakeya theorem

Mathematics Subject Classification ID

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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