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( Serap Bulut ) 호남수학회 2017 호남수학학술지 Vol.39 No.4
In this paper, by means of the Salagean operator, we introduce a new subclass B<sup>m,n</sup><sub>∑</sub>(γ;φ) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to this class, we consider Fekete-Szego inequalities:
BULUT, Serap The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.4
In this paper, by means of the $S{\breve{a}}l{\breve{a}}gean$ operator, we introduce a new subclass $\mathcal{B}^{m,n}_{\Sigma}({\gamma};{\varphi})$ of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. For functions belonging to this class, we consider Fekete-$Szeg{\ddot{o}}$ inequalities.
CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS
BULUT, Serap,MAGESH, Nanjundan,BALAJI, Vittalrao Kupparao The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.4
In this paper, we obtain initial coefficient bounds for an unified subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we find the Fekete-$Szeg{\ddot{o}}$ result for this class. All results are sharp. Consequences of the results are also discussed.
Bulut, Serap Department of Mathematics 2011 Kyungpook mathematical journal Vol.51 No.3
In this paper, we define new classes of analytic functions using a general derivative operator which is a unification of the S$\breve{a}$l$\breve{a}$gean derivative operator, the Owa-Srivastava fractional calculus operator and the Al-Oboudi operator, and discuss some coefficient inequalities for functions belong to this classes.
Serap Bulut 대한수학회 2022 대한수학회논문집 Vol.37 No.3
In this work, we introduce a new subclass of analytic functions of complex order involving the $\left( p,q\right) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg\"{o} type coefficient inequalities are derived. We obtain the results of Srivastava \textit{et al.~}\cite{SR} as consequences of the main theorem in this study.
Coefficient estimates for generalized Libera type bi-close-to-convex functions
Serap Bulut 강원경기수학회 2022 한국수학논문집 Vol.30 No.4
In a recent paper, Sakar and Güney introduced a new class of bi-close-to-convex functions and determined the estimates for the general Taylor-Maclaurin coefficients of functions therein. The main purpose of this note is to give a generalization of this class. Also we point out the proof by Sakar and Güney is incorrect and present a correct proof.
Bulut, Serap Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.2
In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we prove several inclusion relations associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Al-Oboudi derivative. Several special cases of the main results are mentioned.
COEFFICIENT ESTIMATES FOR FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN
Bulut, Serap Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.2
In this paper, we consider a convex univalent function f<sub>α,β</sub> which maps the open unit disc 𝕌 onto the vertical strip domain Ω<sub>α,β</sub> = {w ∈ ℂ : α < ℜ < (w) < β} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with Ω<sub>α,β</sub>. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to these classes.
Coefficient bounds for $p$-valently close-to-convex functions associated with vertical strip domain
Serap Bulut 강원경기수학회 2021 한국수학논문집 Vol.29 No.2
By considering a certain univalent function that maps the unit disk $\mathbb{U}$ onto a strip domain, we introduce new subclasses of analytic and $p$-valent functions and determine the coefficient bounds for functions belonging to these new classes. Relevant connections of some of the results obtained with those in earlier works are also provided.
COEFFICIENT ESTIMATES FOR A NEW GENERAL SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
Bulut, Serap The Kangwon-Kyungki Mathematical Society 2021 한국수학논문집 Vol.29 No.3
In a very recent paper, Yousef et al. [Anal. Math. Phys. 11: 58 (2021)] introduced two new subclasses of analytic and bi-univalent functions and obtained the estimates on the first two Taylor-Maclaurin coefficients |a<sub>2</sub>| and |a<sub>3</sub>| for functions belonging to these classes. In this study, we introduce a general subclass 𝔅<sup>h,p</sup><sub>Σ</sub>(λ, μ, 𝛿) of analytic and bi-univalent functions in the unit disk 𝕌, and investigate the coefficient bounds for functions belonging to this general function class. Our results improve the results of the above mentioned paper of Yousef et al.