A NOTE ON THE DISTRIBUTION OF ZEROS OF POLYNOMIALS AND CERTAIN CLASS OF TRANSCENDENTAL ENTIRE FUNCTIONS
Sanjib Kumar Datta1 and Tanchar Molla2
1Department of Mathematics, University of Kalyani, P.O.:Kalyani, Dist:Nadia-741235, West Bengal, India
2Department of Mathematics, Dumkal College, P.O: Basantapur, P.S: Dumkal, Dist: Murshidabad- 742406, West Bengal, India Email:firstname.lastname@example.org, email@example.com
(Received : September 04, 2021; Revised in format : September 14, 2021; Accepted : April 23, 2022)
In the paper we wish to find a region containing all the zeros of a polynomial. Our result in some special case sharpen some very well known results obtained for this purpose. Also, we obtain a zero free region about an arbitrary point for a certain class of transcendental entire functions by restricting the coefficients of its Taylor’s series expansions to some conditions.
2020 Mathematical Sciences Classification: 30D20, 30C10, 30C15, 30D10.
Keywords and Phrases: Polynomial, transcendental entire function, coefficients, zeros, region