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Analysis on the location of zeros of polynomials with arbitrary variables associated to extreme coefficients. (English) Zbl 1318.26030

Summary: In this paper, we obtain some interesting extensions and generalizations of well known Enestrom-Kakeya theorem. We, in particular show that the bounds of the zeros of the polynomials are sharper for some sets of values of non negative real values of \(\{\lambda,\mu,\tau,\rho\}\) associated to the constraints involving \(\{\alpha_n,\beta_n,\alpha_0,\beta_0\}\) and compared the results obtained by earlier authors.

MSC:

26C10 Real polynomials: location of zeros
30C10 Polynomials and rational functions of one complex variable
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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