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Class of
Analytic
Univalent
Functions with
Fixed Finite
Negative
Coefficients
Defined by
q-Analogue
Difference
Operator
Z. M. Saleh (1) and A. O. Mostafa (2)
(1) Department
of Mathematics,
Faculty of
Science,
Mansoura
University,
Egypt
Email address:
zeinabnsar2@gmail.com
(2) Department of
Mathematics, Faculty
of Science, Mansoura
University, Egypt
Email address:
adelaeg254@yahoo.com
Doi :
https://doi.org/10.47013/15.4.11
Cited by :
Jordan J. Math &
Stat.,
15 (4A) (2022),
955 - 965
PDF
Received on:
July 3, 2021;
Accepted
on: Dec. 19,
2021
Abstract. In this
paper using a
q−analogue
operator, we
define class of
univalent
functions with
fixed finite
negative
coefficients and
determine
coefficient
estimates and
other properties
for this class.
Various results
obtained in this
paper are shown
to be sharp.
Keywords: Analytic
function,
univalent
functions,
starlike and
convex
functions,
q-analogue
operator,
coefficient
estimates,
extreme points,
radius of
convexity,
closure
theorems.
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