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).
SHAH, LUBNA WALI
"On the growth of maximum modulus of rational functions with prescribed poles,"
Turkish Journal of Mathematics: Vol. 45:
1, Article 2.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/2