Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points
Rasoul AGHALARY
^{
[1]
}
,
Jafar KAZEMZADEH
^{
[2]
}
In this paper, by using convolution we generalize the class of analytic functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points and study some of its basic properties. Our results generalize many research works in the literature.
bounded radius rotation, bounded boundary rotation, bounded Mocanu variation, 2ksymmetric conjugate points
 [1] J. Dziok and K.I. Noor, Classes of analytic functions related to a combination of two
convex functions, J. Math. Inequal. 11 (2), 413–427, 2017.
 [2] J. Dziok, Characterizations of analytic functions associated with functions of bounded
variation, Ann. Pol. Math. 109, 199–207, 2013.
 [3] J. Dziok, Classes of functions associated with bounded Mocanu variation, J. Inequal.
Appl. 2013, Art. No. 349, 2013.
 [4] S.S. Miller and P.T. Mocanu, Differential Subordinations Theory and Applications,
Marcel Dekker Inc, New York, 2000.
 [5] K.I. Noor and S. Mustafa, Some classes of analytic functions related with functions
of bounded radius rotation with respect to symmetrical points, J. Math. Inequal. 3 (2),
267–276, 2009.
 [6] K.I. Noor and S. Hussain, On certain analytic functions associated with Ruscheweyh
derivatives and bounded Mocanu variation, J. Math. Anal. Appl. 340 (2), 1145–1152,
2008.
 [7] K.I. Noor, On subclasses of closetoconvex functions of higher order, Inter. J. Math.
Math. Sci. 15, 279–290, 1992.
 [8] K.I. Noor and S.N. Malik, On generalized bounded Mocanu variation associated with
conic domain, Math. Comput. Modelling. 55 (34), 844–852, 2012.
 [9] K.I. Noor and A. Muhammad, On analytic functions with generalized bounded Mocanu
variation, Appl. Math. Comput. 196 (2), 802–811, 2008.
 [10] G. Kohr, Geometric function theory in one and higher dimensions, Marcel Dekker
Inc, New York, 2003.
 [11] R. Parvatham and S. Radha, On αstarlike and αclosetoconvex functions with respect
to nsymetric points, Indian J. Pure Appl. Math. 16 (9), 1114–1122, 1986.
 [12] K. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded
boundary rotation, Ann. Polon. Math. 31, 311–323, 1975.
 [13] B. Pinchuk, Functions with bounded boundary rotation, Isr. J. Math. 10, 7–16, 1971.
 [14] S. Ruscheweyh, Convolutions in Geometric Function Theory. Sem. Math. Sup. 83,
Presses de l’Université de Montréal, Montreal, 1982.
 [15] Z.G. Wang, C.Y. Gao, and S.M. Yuan, On certain subclasses of closetoconvex and
quasiconvex functions with respect to ksymmetric points, J. Math. Anal. Appl. 322,
97–106, 2006.
 [16] Z.G. Wang and C.Y. Gao, On starlike and convex functions with respect to 2ksymmetric
conjugate points, Tamsui Oxf. J. Math. Sci. 24, 277–287, 2008.
 [17] Z.G. Wang and Y.P. Jiang, Some properties of certain subclasses of closetoconvex
and guasiconvex functions with respect to 2ksymmetric conjugate points, Bull. Iran.
Math. Soc. 36 (2), 217–238, 2010.
 [18] S.M. Yuan and Z.M. Liu, Some propertis of αconvex and αquasiconvex functions
with respect to nsymetric points, Appl. Math. Comput. 188 (2), 1142–1150, 2007.
Primary Language 
en

Subjects 
Mathematics

Journal Section 
Mathematics 
Authors 
Orcid: 0000000184311735 Author: Rasoul AGHALARY (Primary Author) Institution: Urmia Uiversity Country: Iran
Orcid: 0000000268872759 Author: Jafar KAZEMZADEH Institution: Urmia University Country: Iran

Dates 
Publication Date
: June 2, 2020

Bibtex 
@research article { hujms466909,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe University},
year = {2020},
volume = {49},
pages = {1206  1215},
doi = {10.15672/hujms.466909},
title = {Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points},
key = {cite},
author = {Aghalary, Rasoul and Kazemzadeh, Jafar}
} 
APA

Aghalary, R
, Kazemzadeh, J
.
(2020).
Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points
.
Hacettepe Journal of Mathematics and Statistics
, 49 (3) ,
12061215 .
DOI: 10.15672/hujms.466909 
MLA

Aghalary, R
, Kazemzadeh, J
.
"Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points"
.
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 12061215 <https://dergipark.org.tr/en/pub/hujms/issue/54699/466909>

Chicago

Aghalary, R
, Kazemzadeh, J
.
"Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points".
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 12061215 
RIS 
TY  JOUR
T1  Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points
AU  Rasoul Aghalary
, Jafar Kazemzadeh
Y1  2020
PY  2020
N1
 doi: 10.15672/hujms.466909 DO
 10.15672/hujms.466909 T2  Hacettepe Journal of Mathematics and Statistics
JF  Journal
JO  JOR
SP  1206
EP  1215
VL  49
IS  3
SN  2651477X2651477X
M3
 doi: 10.15672/hujms.466909 UR
 https://doi.org/10.15672/hujms.466909 Y2  2019
ER 

EndNote 
%0 Hacettepe Journal of Mathematics and Statistics Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points
%A Rasoul Aghalary
, Jafar Kazemzadeh
%T Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points
%D 2020
%J Hacettepe Journal of Mathematics and Statistics
%P 2651477X2651477X
%V 49
%N 3
%R doi: 10.15672/hujms.466909 %U 10.15672/hujms.466909 
ISNAD 
Aghalary, Rasoul
, Kazemzadeh, Jafar
.
"Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points".
Hacettepe Journal of Mathematics and Statistics
49
/
3
(June 2020):
12061215
. https://doi.org/10.15672/hujms.466909 
AMA 
Aghalary R
, Kazemzadeh J
.
Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(3):
12061215.

Vancouver 
Aghalary R
, Kazemzadeh J
.
Generalization of functions of bounded Mocanu variation with respect to 2ksymmetric conjugate points.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(3):
12061215.
