Yazar "Guney, Hatun Ozlem" seçeneğine göre listele

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    Applications of fractional derivatives for Alexander integral operator
    (Springer Heidelberg, 2021) Guney, Hatun Ozlem; Acu, Mugur; Breaz, Daniel; Owa, Shigeyoshi
    Let T-n be the class of functions f (z) = z + a(n+1)z(n+1) + a(n+2)z(n+2) +... that are analytic in the closed unit disc U. With m different boundary points z(s), (s = 1, 2,..., m), we consider alpha(m) is an element of e(i beta) A(j+lambda) f (U), here A(j+lambda) is given by using fractional derivatives Dj+lambda f (z) for f (z) is an element of T-n. Using A(j+lambda), we introduce a subclass P-n(alpha(m), beta, rho; j, lambda) of T-n. The main goal of our paper is to discuss some interesting results of f (z) in the class P-n(alpha(m), beta, rho; j, lambda).
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    Coefficient Bounds for Analytic bi-Bazilevic Functions Related to Shell-like Curves Connected with Fibonacci Numbers
    (Univ Maragheh, 2019) Guney, Hatun Ozlem
    In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szego inequality for this function class.
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    Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials
    (Hindawi Ltd, 2017) Guney, Hatun Ozlem; Murugusundaramoorthy, G.; Vijaya, K.
    We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Salagean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szego inequalities for these function classes. Several consequences of the results are also pointed out.
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    A New Operator for Meromorphic Functions
    (Mdpi, 2022) Guney, Hatun Ozlem; Breaz, Daniel; Owa, Shigeyoshi
    Let S be the class of functions f ( z) of the form f ( z) = 1/z + Sigma(infinity)(k =0)a(k)z(k), which are analytic in the punctured disk. Using the differentiations and integrations, new operator D-n f (z) is introduced for f (z) is an element of Sigma. The object of the present paper is to discuss some interesting properties for D-n f (z) and some properties concerned with different boundary points of the open unit disk. Moreover, some simple examples for our results are shown.
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    New Properties of Analytic Functions
    (Mdpi, 2024) Guney, Hatun Ozlem; Owa, Shigeyoshi
    In the present paper, we consider the class A of functions f(z) of the form f(z)=z+& sum;k=1 infinity a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k not equal 3n (n=1,2,3,& ctdot;), then f(z) is given by f(z)=z+& sum;k=2 infinity akzk. For such functions f(z)is an element of A, some interesting properties for subordinations and strongly starlike functions are given. Also, some interesting examples for the results are shown.
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    The Second Hankel Determinant for a Certain Class of Bi-Close-to-Convex Functions
    (Springer Basel Ag, 2019) Guney, Hatun Ozlem; Murugusundaramoorthy, Gangadharan; Srivastava, Hari Mohan
    In this paper, we investigate the upper bound associated with the second Hankel determinant H-2(2) for a certain class of bi-close-to-convex functions which we have introduced here. Several closely related results are also considered.
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    Some general properties of analytic and p-valent functions
    (Univ Nis, Fac Sci Math, 2024) Eker, Sevtap Sumer; Guney, Hatun Ozlem; Owa, Shigeyoshi
    Let A(p) be the class of functions f (z) of the formf(z) = z(p) + a(p+1)z(p+1) + a(p+2)z(p+2) + . . . , (p is an element of N = {1, 2, 3, . . .})which are analytic in the open unit disc U. In this article, we consider some generalization properties of the functions in A(p) and generalize results by applying fractional derivatives.