Document Type : Research Paper

Authors

• Tawheeda Akhter ¹
• Shabir Ahmad Malik ²
• Bashir Ahmad Zargar ³

¹ Naseem Bagh Srinagar

² Department of Mathematics, University of Kashmir , Srinagar, Jammu and Kashmir, India

³ 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