Inequalities concerning rational functions with prescribed poles

Abdullah Mir ()
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Abdullah Mir: University of Kashmir

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 315-331

Abstract: Abstract In this paper, we establish some inequalities for rational functions with prescribed poles which generalize and refine the results of Li, Mohapatra and Rodriguez, Aziz and Shah, Qasim and Liman and others. A result of O’Hara and Rodriguez for self-inversive polynomials is also extended to rational functions by one of our result as a special case.

Keywords: Rational function; polynomial; poles; zeros; Bernstein’s inequality (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0327-6

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