ANALİTİK FONKSİYONLARIN YENİ ALT SINIFLARININ KARAKTERİSTİK ÖZELLİKLERİ
Bu çalışmada biz açık birim diskte analitik fonksiyonların iki yeni altsınıfını tanımladık ve araştırdık. Mevcut çalışmanın amacı bu sınıflara ait fonksiyonların karakteristik özelliklerini elde etmektir. Dahası, bu sınıflara ait olan fonksiyonlar için çeşitli katsayı eşitsizlikleri de verilmiştir
CHARACTERISTIC PROPERTIES OF THE NEW SUBCLASSES OF ANALYTIC FUNCTIONS
In this study, we introduce and investigate two new subclasses of analytic functions in the open unit disk. The object of the present paper is to derive characteristic properties of the functions belonging to these classes. Further, several coefficient inequalities for the functions belonging to these classes are also given
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- [1] Frasin, B. A. 2012. New subclasses
of analytic functions: Journal of
Inequalities and Applications,
Volume 24, pp. 1-10.
- [2] Cho, N. E. and Kim, J. A. 2006.
Inclusion Properties of Certain
Subclasses of Analytic Functions
Defined by a Multiplier
Transformation: Computers and
Mathematics with Applications,
Volume 52, pp. 323-330.
- [3] Darus, M. and Faisal, I. 2012. Some
subclasses of analytic functions of
complex order defined by new
differential operator: Tamkang
Journal of Mathematics, Volume 43,
pp. 223-242.
- [4] Gao, C. Y., Zhou, S. Q. 2005. On a
class of analytic functions related
to the class to the starlike
functions: Kyungpook
Mathematical Journal, Volume 45,
pp. 123-130.
- [5] Kowalczyk, J., Les-Bomba, E. 2010.
On a subclass of close-to-convex
functions: Applied Mathematics
Letters, Volume 23, pp. 1147-1151.
- [6] Xu, Q. H., Srivastava, H. M., Li, Z.
2011. A certain subclass of analytic
and close-to-convex functions:
Applied Mathematics Letters,
Volume 24, pp. 396-401.
- [7] Wang, Z. G., Chen, D. Z. 2009. On a
certain subclass of close-to-conex
functions: Hacettepe Journal of
Mathematics and Statistics, Volume
38, pp. 95-101.
- [8] Prajapat, J. K. 2012. Inclusion
properties for certain class of
analytic functions involving
multiplier transformation
operator: Journal of Classical
Analysis, Volume 1, pp. 35-42.
- [9] Prajapat, J. K. 2016. A new subclass
of close-to-convex functions:
Surveys in Mathematics and
Applications, Volume 11, pp. 11-19.
- [10] Mustafa, N. 2016. Close-toconvexity
of normalized Wright
functions: Dokuz Eylul UniversityFaculty
of Engineering Journal of
Science and Engineering, Volume
18, pp. 290-303.
- [11] Panigrahi, T.,
Murugusundaramoorthy, G. 2016.
On Successive Coefficient Estimate
for Certain Subclass of Analytic
Functions: Applied Mathematics ENotes,
Volume 16, pp. 117-124.
- [12] Duren, P. L. 1983. Univalent
Functions. Grundlehren der
Mathematischen Wissenshaften,
Bd. 259, New York, SpringerVerlag,
382p.
- [13] Goodman, A. W. 1983. Univalent
Functions. Volume I, Washington,
Polygonal, 246p.
- [14] Srivastava, H. M. and Owa, S. (Ed.)
1992. Current Topic in Analytic
Function Theory. World Scientific
Publishing Company, New Jersey,
London, Hong Kong, 456p.
- [15] Altıntaş, O. and Owa, S. 1988. On
subclasses of univalent functions
with negative coefficients: Pusan
Kyongnam Mathematical Journal,
Volume 4, pp. 41-56.
- [16] Moustafa, A. O. 2009. A study on
starlike and convex properties for
hypergeometric functions: Journal of
Inequalities in Pure and Applied
Mathematics, Volume 10, pp. 1-16.
- [17] Porwal, S. and Dixit K. K. 2013. An
application of generalized Bessel
functions on certain analytic
functions: Acta Universitatis
Matthiae Belii series Mathematics,
pp. 51-57.
- [18] Siverman, H. 1975. Univalent
Functions with Negative Coefficients:
American Mathematical Society,
Volume 51, pp. 106-116.
- [19] Altıntaş, O. 1991. On a subclass of
certain starlike functions with
negative coefficient: Mathematica
Japonica, Volume 36, pp. 489-495.
- [20] Altıntaş, O., Irmak, H. and
Srivastava, H. M. 1995. Fractional
calculus and certain starlike
functions with negative
coefficients: Computers and
Mathematics with Applications,
Volume 30, pp. 9-16.
- [21] Altıntaş, O., Özkan, Ö. and
Srivistava, H. M. 2004.
Neighbourhoods of a Certain
Family of Multivalent Functions
with Negative Coefficients:
Computers and Mathematics with
Applications, Volume 47, pp. 1667-
1672.
- [22] Porwal, S. 2014. An application of a
Poisson distribution series on
certain analytic functions: Journal
of Complex Analysis, Article ID
984135, pp. 1-3.