Geodesic
Inequalities for Maximum Modulus of Rational Functions with Prescribed Poles
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 865 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we prove some results concerning the rational functions with prescribed poles and restricted zeros. These results in fact generalize or strengthen some known inequalities for rational functions with prescribed poles and in turn produce new results besides the refinements of some known polynomial inequalities. Our method of proof may be useful for proving other inequalities for polynomials and rational functions.
Classification : 26D10, 30A10, 30C15
Keywords: Rational functions, polynomials, Schwarz lemma, inequalities, polar derivative 
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     author = {S. L. Wali},
     title = {Inequalities for {Maximum} {Modulus} of {Rational} {Functions} with {Prescribed} {Poles}},
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S. L. Wali. Inequalities for Maximum Modulus of Rational Functions with Prescribed Poles. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 865 . http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a3/