Inequalities for the Polar Derivative of a Polynomial with Confined Zeros

Vol-4 | Issue-5 | May 2019 | Published Online: 25 May 2019    PDF ( 494 KB )
Author(s)
Manisha 1; Dr. Pardeep Goel 2

1Research Scholar, Department of Mathematics, OPJS University, Churu, Rajasthan

2Professors, Department of Mathematics, OPJS University, Churu, Rajasthan

Abstract

In this paper certain irregular characteristics for the polar derivative of a
polynomial with bound zeros are given, which summarize and re one some
notable polynomial inequalities due to Govil, Malik, Aziz and others. In this paper we reach out above imbalance for the polar subsidiary of polynomials having no zeros in |z| < 1, aside from s-overlay zeros at the birthplace. . On the off chance that the quantity of zeros isn't known at the beginning, the outcome might be untrustworthy as in a portion of the zeros may not be found. Then again, if the locale contains no zeros one may scan long and unproductively for something which doesn't exist. Regardless of whether the quantity of zeros in the district is known, it might be hard to urge the emphasess into merging, or to stop them continually combining to a similar zero. Our outcome sums up certain notable polynomial inequalities.

Keywords
Polar Derivative, Derivative of Polynomials
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