A Note on the Bounds of Zeros of Polynomials and certain Class of Transcendental Entire Functions

Abstract

In the paper we wish to find bounds of zeros of a polynomial. Our result in some special case sharpen some very well known results obtained for this purpose. Also, we obtain lower bound for a certain class of transcendental entire functions by restricting the coefficients of its Taylor’s series expansions to some conditions.

Key words and phrases. Polynomial, transcendental entire function, coefficients, zeros, bounds.

2020 Mathematics Subject Classification. 30D20, 30C10, 30C15, 30D10