Turkish Journal of Mathematics
Abstract
In this paper we prove a sharp growth estimate for rational functions with prescribed poles and restricted zeros in the Chebyshev norm on the unit disk in the complex domain. In particular we extend a polynomial inequality due to Dubinin (2007) to rational functions which also improves a result of Govil and Mohapatra (1998).
DOI
10.3906/mat-2003-97
Keywords
Rational functions, polynomials, inequalities, growth estimates, Schwarz lemma
First Page
47
Last Page
53
Recommended Citation
SHAH, L. W (2021). On the growth of maximum modulus of rational functions with prescribed poles. Turkish Journal of Mathematics 45 (1): 47-53. https://doi.org/10.3906/mat-2003-97
