Open AccessInequalities concerning the rate of growth of polynomials involving the polar derivative
Author(s) -
Abdullah Mir,
Adil Hussain Malik
Publication year - 2020
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2020.74.1.67-75
Subject(s) - derivative (finance) , polar , mathematics , lacunary function , algebraic number , complex plane , yield (engineering) , inequality , pure mathematics , algebra over a field , mathematical analysis , physics , thermodynamics , astronomy , financial economics , economics
This paper contains some results for algebraic polynomials in the complex plane involving the polar derivative that are inspired by some classical results of Bernstein. Obtained results yield the polar derivative analogues of some inequalities giving estimates for the growth of derivative of lacunary polynomials.