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A Note on the
Bounds of Zeros
of Polynomials
and certain
Class of
Transcendental
Entire Functions
Tanchar Molla (1) and Sanjib Kumar Datta (2)
(1)
Department of
Mathematics,
Dumkal College,
P.O: Basantapur,
P.S: Dumkal,
Dist.:
Murshidabad-742406,
West Bengal,
India
Email address:
tanumath786@gmail.com
(2) Department of
Mathematics,
University of
Kalyani, P.O.:
Kalyani, Dist.:
Nadia-741235, West
Bengal, India
Email address:
sanjibdatta05@gmail.com
Doi :
https://doi.org/10.47013/16.1.10
Cited by :
Jordan J. Math &
Stat.,
16 (1) (2023),
153 - 163
PDF
Received on:
Feb. 18,
2022;
Accepted
on: Jun. 13,
2022
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.
Keywords: Polynomial,
transcendental
entire function,
coefficients,
zeros, bounds.
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