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    Coefficient estimates for bi-concave functions
    (Ankara University, 2019) Sakar, F. Müge; Güney, H. Özlem
    In this study,a new class C p;q ( ) of analytic and bi-concave functions were presented in the open unit disc. The coe¢ cients estimates on the Örst two Taylor-Maclaurin coe¢ cients ja2j and ja3j were found for functions belonging to this class.
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    New extension of Alexander and Libera integral operators
    (Scientific Technical Research Council Turkey-TUBITAK, 2022) Güney, H. Özlem; Owa, Shigeyoshi
    Let T be the class of analytic functions in the open unit disc U with f (0) = 0 and f'(0) = 1. For f(z) is an element of T, the Alexander integral operator A(-1)f(z), the Libera integral operator L(-1)f(z) and the Bernardi integral operator B(-1)f(z) were considered before. Using A(-1)f(z) and L(-1)f(z), a new integral operator F(lambda)f (z) is considered. After discuss some properties of dominant for F(lambda)f(z), another new integral operator O(-1)f(z) of f(z) is an element of T is discussed. The object of the present paper is to discuss the dominant of new integral operators F(lambda)f(z) and O(-1)f(z) concerning with some starlike functions and convex functions in U.
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    On lambda-pseudo bi-starlike functions with respect to symmetric points associated to shell-like curves
    (University of Kragujevac - Faculty of Science, 2021) Murugusundaramoorthy, G.; Vijaya, K.; Güney, H. Özlem
    In this paper we define a new subclass lambda-pseudo bi-starlike functions with respect to symmetric points of Sigma related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients vertical bar alpha(2)vertical bar and vertical bar alpha(3)vertical bar for f is an element of PSLs,Sigma lambda (alpha,(p) over tilde (z)). Further we determine the Fekete-Szego result for the function class PSL lambda(s,Sigma)(alpha,(p) over tilde (z)) and for special cases, corollaries are stated which some of them are new and have not been studied so far.
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    Subclasses of lambda-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
    (Univ Frontera, Dept Matematica & Estadistica, 2021) Güney, H. Özlem; Murugusundaramoorthy, G.; Vijaya, K.
    In this paper we define the subclass PSLs,Sigma lambda(alpha(p) over tilde (z)) of the class Sigma of bi-univalent functions defined in the unit disk, called lambda-bi-pseudo-starlike, with respect to symmetric points, related to shell-like curves connected with Fibonacci numbers. We determine the initial Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions f is an element of PSLs,Sigma lambda(alpha,(p) over tilde (z)). Further we determine the Fekete-Szego result for the function class PSLs,Sigma lambda(alpha,(p) over tilde (z)) and for the special cases alpha = 0, alpha = 1 and tau = -0.618 we state corollaries improving the initial Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar