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Your search keyword '"Ahangar, S. H."' showing total 4 results
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4 results on '"Ahangar, S. H."'

1. Some extensions of Enestr\'om-Kakeya Theorem

Author

Rather, N. A., Gulzar, Suhail, and Ahangar, S. H.

Subjects
Mathematics - Complex Variables, 30C10, 26C10, 30C15
Abstract

In this paper we obtain some refinements of a well-known result of Enestr\"o-Kakeya concerning the bounds for the moduli of the zeros of polynomials with complex coefficients which improve upon some results due to Aziz and Mohammad, Govil and Rahman and others., Comment: 12 pages

Published
2015

2. On the polar derivative of a polynomial

Author

Rather, N. A., Ahangar, S. H., and Gulzar, Suhail

Subjects
Mathematics - Complex Variables, 30A10, 30C10, 30E10
Abstract

Let $P(z)$ be a polynomial of degree $n$ having no zero in $|z|

Published
2014

4. ON THE POLAR DERIVATIVE OF A POLYNOMIAL.

Author

Rather, N. A., Ahangar, S. H., and Gulzar, Suhail

Subjects
*DERIVATIVES (Mathematics), *POLYNOMIALS, *MATHEMATICAL inequalities, *COMPLEX numbers, *REAL numbers
Abstract

Let P(z) be a polynomial of degree n having no zeros in |z| < k where k ≥ 1. Then it is known that for every real or complex number α with |α| ≥ 1, max |z|=1 |DαP(z)| ≤ n (|α| + k/1 + k) max |z|=1 |P(z)|, where DαP(z) = nP(z) + (α - z)P' (z) denotes the polar derivative of the polynomial P(z) of degree n with respect to a point α ∈ ℂ. In this paper, by a simple method, a refinement of the above inequality and other related results are obtained. [ABSTRACT FROM AUTHOR]

Published
2015

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