On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials |
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| Authors: | Professor E B Saff Professor R S Varga |
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| Institution: | (1) Dept. of Mathematics, University of South Florida, 33620 Tampa, Florida, U.S.A.;(2) Dept. of Mathematics, Kent State University, 44242 Kent, Ohio, U.S.A. |
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| Abstract: | Summary In this paper, we establish the sharpness of a theorem concerning zero-free parabolic regions for certain sequences of polynomials satisfying a three-term recurrence relation. Similarly, we establish the sharpness of a zero-free sectorial region for certain sequences of Padé approximants toe
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.Research supported in part by the Air Force Office of Scientific Research under Grant AFOSR-74-2688Research supported in part by the Air Force Office of Scientific Research under Grant AFOSR-74-2729, and by the Energy Research and Development Administration (ERDA) under Grant E(11-1)-2075 |
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