#### Glasnik Matematicki, Vol. 33, No.2 (1998), 173-184.

### ON THE ZEROS OF POLYNOMIALS AND RELATED
ANALYTIC FUNCTIONS

### Abdul Aziz and W. M. Shah

Post-graduate Department of Mathematics, University of Kashmir,
Hazratbal, Srinagar - 190 006, Kashmir, India

**Abstract.** Let *P*(*z*) be a polynomial
of degree *n* with real or complex coefficients. In this paper
we obtain a ring shaped region containing all the zeros of
*P*(*z*). Our result include, as special cases, several
known extensions of Enestrom-Kakeya theorem on the zeros of a
polynomial. We shall also obtain zero free regions for certain class
of analytic functions.

**1991 Mathematics Subject Classification.**
30C10, 30C15.

**Key words and phrases.** Polynomials, zeros, analytic
functions.

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