Turan Type Inequalities For a Class of Polynomials With Constraints

Document Type : Research Paper

Authors

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

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

3 Department of Mathematics, Govt. College for Women, M.A. Road, Srinagar - 190001, Jammu and Kashmir, India

Abstract

In this paper some sharp lower bound estimates for the maximal modulus of p(z) and polar derivative of p(z) are established in terms of their degrees, coefficients and maximal modulus of p(z) over unit disk under the assumption that all the zeros of p(z) lie in |z|k, k1.

Keywords

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Volume 12, Special Issue
December 2021
Pages 583-594
  • Receive Date: 03 March 2021
  • Revise Date: 02 April 2021
  • Accept Date: 19 April 2021