Growth Estimate for Rational Functions with Prescribed Poles and Restricted Zeros
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Authors: N. A. RATHER, M. SHAFI AND I. DAR
DOI: 10.46793/KgJMat2502.305R
Abstract:
Let ℛn be the set of all rational functions of the type r(z) = f(z)∕w(z), where f(z) is a polynomial of degree at most n and w(z) = ∏ j=1n(z −aj), |aj| > 1 for 1 ≤ j ≤ n. In this paper, we extend some famous results concerning to the growth of polynomials by T. J. Rivlin, A. Aziz and others to the rational functions with prescribed poles and thereby obtain the analogous results for such rational functions with restricted zeros.
Keywords:
Rational functions, polynomial inequalities, growth, zeros.
References:
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