Abstract:For rational functions R(z) = P (z)/W (z), where P is a polynomial of degree at the most n and W (z) = n J =1 (z − a j ), with |a j | > 1, j ∈ {1, 2, . . . , n}, we use simple but elegant techniques to strengthen generalizations of certain results which extend some widely known polynomial inequalities of Erdös-Lax and Turán to rational functions R. In return these reinforced results, in the limiting case, lead to the corresponding refinements of the said polynomial inequalities. As an illustration and as an ap… Show more
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