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On the location of
the zeros of certain composite polynomials
Abdul Aziz |
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Vol. 118 (1985), No. 1, 17–26
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Abstract |
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Let P(z) = ∑ j=0nC(n,j)Ajzj and Q(z) = ∑ j=0mC(m,j)Bjzj be two polynomials of degree n and m, respectively, m ≤ n (C(n,j) = binomial coefficient). In this paper we study the relative location of the zeros of P(z) and Q(z) when the coefficients of these polynomials satisfy an apolar type relation and obtain some results. As an application of these results, we present certain generalizations of results of Walsh, Szegő, DeBruijn and Kakeya. |
Mathematical Subject Classification 2000
Primary: 30C15
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Milestones
Received: 17 August 1983
Published: 1 May 1985
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Authors |
| Abdul Aziz | |
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