Geodesic
Inequalities pertaining to rational functions with prescribed poles
Ural mathematical journal, Tome 8 (2022) no. 2, pp. 143-152 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\Re_n$ be the set of all rational functions of the type $r(z) = p(z)/w(z),$ where $p(z)$ is a polynomial of degree at most $n$ and $w(z) = \prod_{j=1}^{n}(z-a_j)$, $|a_j|>1$ for $1\leq j\leq n$. In this paper, we set up some results for rational functions with fixed poles and restricted zeros. The obtained results bring forth generalizations and refinements of some known inequalities for rational functions and in turn produce generalizations and refinements of some polynomial inequalities as well.
Keywords: rational functions, polynomials, inequalities. 
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Nisar Ahmad Rather; Mohmmad Shafi Wani; Ishfaq Dar. Inequalities pertaining to rational functions with prescribed poles. Ural mathematical journal, Tome 8 (2022) no. 2, pp. 143-152. http://geodesic.mathdoc.fr/item/UMJ_2022_8_2_a11/

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