Yazar "Güney, Hatun Özlem" seçeneğine göre listele

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    An application of salagean operator concerning starlike functions
    (MDPI, 2022) Güney, Hatun Özlem; Oros, Georgia Irina; Owa, Shigeyoshi
    As an application of the well-known Salagean differential operator, a new operator is introduced and, using this, a new class of functions S-n(alpha) is defined, which has the classes of starlike and convex functions of order alpha as special cases. Original results related to the newly defined class are obtained using the renowned Jack-Miller-Mocanu lemma. A relevant example is given regarding the applications of a new proven result concerning interesting properties of class S-n (alpha).
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    Certain subclasses of spirallike univalent functions related with generalized distribution series
    (Springer Heidelberg, 2022) Güney, Hatun Özlem; Yıldızhan, Bade
    The purpose of the this paper is to find the sufficient conditions for the subclasses of analytic functions associated with generalized distribution to be in subclasses of spirallike univalent functions. Further, we consider the properties of an integral operator related to generalized distribution series.
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    Coefficient bounds and Fekete–Szegö Inequality for a new family of bi-univalent functions defined by Horadam polynomials
    (Springer Science and Business Media Deutschland GmbH, 2022) Wanas, Abbas Kareem; Güney, Hatun Özlem
    In the current article, we introduce and investigate a new family KΣ(δ, λ, x) of analytic and bi-univalent functions by using the Horadam polynomials defined in the open unit disk U. We determine upper bounds for the initial Taylor–Maclaurin coefficients. Further we obtain the Fekete–Szegö inequality of functions belonging to this family. We also point out several certain special cases for our results.
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    Coefficient bounds for a new subclass of analytic bi-close-to-convex functions by making use of Faber polynomial expansion
    (TUBITAK, 2017) Sakar, Fethiye Müge; Güney, Hatun Özlem
    Recently, in the literature, we can see quite a few papers about general coefficient bounds for subclasses of bi-univalent functions. However, we can find just a few papers about general coefficient estimates for subclasses of bi-close-to-convex functions. In the present study, we give and look into a new subclass of analytic and bi-close-to-convex functions in the open unit disk. Making use of the Faber series, we have an upper bound for the general coefficient of functions in this class. We also demonstrate the invisible behavior of the beginning coefficients of a special subclass of bi-close-to-convex functions.
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    Generalized operator for Alexander integral operator
    (Sciendo, 2020) Güney, Hatun Özlem; Owa, Shigeyoshi
    LetTnbe the class of functionsfwhich are defined by apower seriesf(z) =z+an+1zn+1+an+2zn+2+...for everyzin the closed unit discU.Withmdifferent boundary pointszs,(s=1,2,...,m),we considerαm∈eiβA−j−λf(U),hereA−j−λis thegeneralized Alexander integral operator andUis the open unit disc. Ap-plyingA−j−λ,a subclassBn(αm,β,ρ;j,λ)ofTnis defined with fractionalintegral for functionsf.The object of present paper is to consider someinteresting properties offto be inBn(αm,β,ρ;j,λ)
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    Initial coefficient bounds for subclasses of bi-univalent functions associated with the Chebyshev polynomials
    (Jangjeon Mathematical Society, 2018) Güney, Hatun Özlem; Murugusundaramoorthy, Gangadharan; Vijaya, Kaliappan
    In this paper, we introduce and investigate new subclasses of bi-univalent functions defined in the open unit disk, involving special functions associated with Chebyshev Polynomials. Furthermore, we find estimates of first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed.
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    New applications of the Bernardi integral operator
    (MDPI AG, 2020) Owa, Shigeyoshi; Güney, Hatun Özlem
    Let A(p, n) be the class of f (z) which are analytic p-valent functions in the closed unit disk U = {z ∈ C: |z| ≤ 1}. The expression B-m-λf(z) is defined by using fractional integrals of order l for f (z) ∈ A(p, n). When m = 1 and l = 0, B-1 f (z) becomes Bernardi integral operator. Using the fractional integral B-m-λ f (z), the subclass Tp, n (αs, β, ρ; m, λ) of A(p, n) is introduced. In the present paper, we discuss some interesting properties for f (z) concerning with the class Tp, n (αs, β, ρ; m, λ). Also, some interesting examples for our results will be considered.
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    New classes of harmonic functions defined by fractional operator
    (Isik University, 2018) Sakar, Fethiye Müge; Bağcı, Yasemin; Güney, Hatun Özlem
    In the present study, we introduce an investigation of new subclasses of harmonic functions which are defined by fractional operator. Firstly, using by fractional operator, we define new subclasses of harmonic functions. Later, we obtain main theorems of our study which contain sufficient and necessary coefficient bounds for functions related to the classes newly defined. Also, several particular characterization properties of these classes are given. Some of these properties involve extreme points, convex combination, distortion bounds. Finally, several corollaries of the main theorems are presented.
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    A new general integral operator
    (Hikari Ltd., 2016) Güney, Hatun Özlem; Sakar, Fethiye Müge; Bulut, Serap
    In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators.
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    New integral operator for analytic functions
    (Hindawi Limited, 2024) Güney, Hatun Özlem; Owa, Shigeyoshi; Attiya, Adel A.
    Let Apn be the class of functions fz given by fz=zp+ap+nzp+n+ap+n+1zp+n+1+⋯ which are analytic in the open unit disk U. For fz∈Apn, new integral operators O-jfz and Ojfzj=0,1,2,⋯. are considered. The operators O-jfz and Ojfz satisfy OjO-jfz=O-jOjfz=fz and O-j∗Ojfz=Oj∗O-jfz=f∗fz for the convolution ∗ of O-jfz and Ojfz. In the present paper, the dominants for both operators O-jfz and Ojfz and subordinations for O-jfz and Ojfz are discussed. Also, new subclass Tpγm,δ,ρ;m,j concerning with m different boundary points is defined and discussed. Moreover, some interesting problems of Tpγm,δ,ρ;m,j associated with Ojfz are obtained. Furthermore, some interesting examples for our results are considered.
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    New subclasses of Bi-univalent functions of complex order associated with hypergeometric functions
    (Turkic World Mathematical Society, 2021) Murugusundaramoorthy, G.; Güney, Hatun Özlem
    In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained. Several new (or known) consequences of the results are also pointed out
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    On ?-pseudo bi-starlike functions related with Fibonacci numbers
    (Episciences, 2024) Vijaya, Kaliyappan; Murugusundaramoorthy, Gangadharan; Güney, Hatun Özlem
    In this paper we define a new subclass λ-bi-pseudo-starlike functions of Σ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients |a2| and |a3| for f. Further we determine the Fekete-Szegö result for the function class and for special cases, corollaries are stated which some of them are new and have not been studied so far.
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    On some interesting classes of analytic functions related to univalent functions
    (Mdpi, 2024) Güney, Hatun Özlem; Breaz, Daniel; Owa, Shigeyoshi; 0000-0002-3010-7795; 0000-0002-0095-1346
    Let A over bar be the new general class of functions f(z) of the form f(z) = z + Sigma(infinity)(k=1)a(1+k/2)z(1+k/2) that are analytic in the open unit disc U. In the present paper, for f(z) is an element of A over bar , we consider classes S*(alpha), C (alpha) and R(alpha) and obtain some interesting properties of f(z) is an element of A over bar concerning S*(alpha), C (alpha) and R(alpha), applying subordinations of f(z).
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    On The Fekete-Szegö Problem for Generalized Class M? ?? Defined By Differential Operator
    (2016) Sakar, Fethiye Müge; Aytaş, Sultan; Güney, Hatun Özlem
    Buçalışmada,Fekete-Szegöproblemiçalışılmıştır. 2 3 2 3 f z z az az ( ) .... ?? ? ? Uz z ?? ? ? C : 1? , açık birim diskinde normalize edilmiş analitik fonksiyonların bir sınıfı olsun. ? ? 1 koşulu altında ? tipli ? mertebeli * , ( ) S? ? ? sınıfı ile ilgili, 2 a a 3 2 ? ? içinkesinmaksimumdeğerieldeedilmiştir.
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    SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS
    (2018) İlhan, Sedat; Güney, Hatun Özlem; Sokol, Janusz
    In this paper, we investigate upper bounds for the second Hankel determinant in several classes of analytic functions in the open unit disc, related to shell-likecurves and connected with Fibonacci numbers.
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    Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
    (University of Nis, 2018) Srivastava, Hari M.; Sakar, Fethiye Müge; Güney, Hatun Özlem
    In the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f (z)z, f′ (z) and z f′′ (z) for a function belonging to the normalized univalent function class S. By applying the technique involving the Faber polynomials, we determine estimates for the general Taylor-Maclaurin coefficient of functions belonging to the analytic and bi-univalent function class which we have introduced here. We also demonstrate the not-too-obvious behaviour of the first two Taylor-Maclaurin coefficients of such functions.
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    Some properties for subordinations of analytic functions
    (MDPI, 2023) Güney, Hatun Özlem; Breaz, Daniel; Owa, Shigeyoshi
    Let the class of functions of (Formula presented.) of the form (Formula presented.), which are denoted by (Formula presented.) and called analytic functions in the open-unit disk. There are many interesting properties of the functions (Formula presented.) in the class (Formula presented.) concerning the subordinations. Applying the three lemmas for (Formula presented.) provided by Miller and Mocanu and by Nunokawa, we consider many interesting properties of (Formula presented.) with subordinations. Furthermore, we provide simple examples for our results. We think it is very important to consider examples of the results.
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    Subordination problems for certain meromorphic functions
    (Tusi Mathematical Research Group (TMRG), 2023) Güney, Hatun Özlem; Owa, Shigeyoshi
    Let ? be the class of meromorphic functions f of the form f(z) = 1/z + a0 + a1z + · · · that are analytic in the punctured disk U0. For f ? ?, operators Dnf with n ? Z = {…,?1, 0, 1,…} are introduced. Applying differential subordinations for analytic functions in the open unit disc U, some interesting properties of f ? ? with Dnf are discussed, and argument problems of Dnf are given. Also, we consider some simple problems for our results.
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    A subordination result involving Ruscheweyh derivatives and Hadamard product of certain classes of analytic functions
    (Springer-Verlag Italia s.r.l., 2007) Güney, Hatun Özlem; Raina, Ravinder Krishna; 0000-0002-3010-7795
    In the present paper we obtain an interesting subordination relation for a generalized subclass of analytic functions by using both the Hadamard product and Ruscheweyh derivatives. Some corollaries are also deduced as special cases of our main result.