Title of article :
Turan type inequalities for rational functions with prescribed poles
Author/Authors :
Akhter, Tawheeda No Affiliation , Malik, Shabir Ahmad Department of Mathematics - University of Kashmir , Srinagar, Jammu and Kashmir, India , Zargar, Bashir Ahmad University of Kashmir
Abstract :
In this paper, we establish some inequalities for rational functions with prescribed poles having t-fold zeros at the origin. The estimates obtained generalise as well as refine some known results for rational functions and in turn, produce extensions of some polynomial inequalities earlier proved by Turan, Jain etc.
Keywords :
Rational functions , inequalities in complex domain , poles , t-fold zeros
Journal title :
International Journal of Nonlinear Analysis and Applications