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Number of zeros of a polynomial in a specific region with restricted coefficients

Mir Abdullah, Ahmad Abrar, Malik Adil Hussain

Journal of Mathematics and Applications

2019

Vol. 42

135--146

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.