Number of zeros of a polynomial in a specific region with restricted coefficients
This paper focuses on the problem concerning the location and the number of zeros of
polynomials in a specific region when their coefficients are restricted with special conditions.
We obtain extensions of some classical results concerning the number of zeros of
polynomials in a prescribed region by imposing the restrictions on the moduli of the
coefficients, the real parts (only) of the coefficients, and the real and imaginary parts of the
coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.
polynomials in a specific region when their coefficients are restricted with special conditions.
We obtain extensions of some classical results concerning the number of zeros of
polynomials in a prescribed region by imposing the restrictions on the moduli of the
coefficients, the real parts (only) of the coefficients, and the real and imaginary parts of the
coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.
Abstract
This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts (only) of the coefficients, and the real and imaginary parts of the coefficients.
AMS Subject Classification: 30A99, 30E10, 41A10.
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