Geodesic
Estimates for the maximal modulus of rational functions with prescribed poles
Filomat, Tome 35 (2021) no. 5, p. 1511

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DOI

In this paper, we obtain certain sharp estimates for the maximal modulus of a rational function with prescribed poles. The proofs of the obtained results are based on the new version of the Schwarz lemma for regular functions which was suggested by Osserman. The obtained results produce several inequalities for polynomials as well.
DOI : 10.2298/FIL2105511M
Classification : 30A10, 30C10, 26D10
Keywords: Polynomials, Rational functions, Bernstein-inequality, Prescribed poles 
Gradimir V Milovanović; Abdullah Mir; Abrar Ahmad. Estimates for the maximal modulus of rational functions with prescribed poles. Filomat, Tome 35 (2021) no. 5, p. 1511 . doi: 10.2298/FIL2105511M
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     title = {Estimates for the maximal modulus of rational functions with prescribed poles},
     journal = {Filomat},
     pages = {1511 },
     year = {2021},
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     doi = {10.2298/FIL2105511M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105511M/}
}
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