Yazar "Guney, H. O." seçeneğine göre listele

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    Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator
    (Tbilisi Centre Math Sci, 2018) Murugusundaramoorthy, G.; Vijaya, K.; Guney, H. O.
    In this paper we introduce and investigate two new subclasses of the function class Sigma of bi-univalent functions in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these new subclasses by using Chebyshev polynomials. Several new consequences of these results are also pointed out.
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    Faber Polynomial Coefficient Estimates for Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Fractional Derivative
    (Univ Putra Malaysia Press, 2017) Sakar, F. M.; Guney, H. O.
    A new subclass of bi-univalent functions both f and f(-1) which are mfold symmetric analytic functions are investigated in this study. We also determine the estimate for the general Taylor-Maclaurin coefficient of the functions in this class. Furthermore, using the Faber polynomial expansion, upper bounds of |a(m+1)|, |a(2m+1)|, and |a(m+1)(2) - a(2m+1)| coefficients for analytic bi-univalent functions defined by fractional calculus are found in this study.
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    New subclasses bi-univalent functions related to shell-like curves involving hypergeometric functions
    (Springer Heidelberg, 2020) Murugusundaramoorthy, G.; Guney, H. O.; Vijaya, K.
    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 Strongly Ozaki ?-Pseudo Bi-Close-to-Convex Functions
    (Islamic Azad Univ, Shiraz Branch, 2022) Guney, H. O.; Owa, S.
    In the current article, we introduce and investigate two new families of strongly Ozaki lambda-pseudo bi-close-to-convex functions in the open unit disk. We determine upper bounds for the second and third coefficients of functions belonging to these new subclasses. Also, we point out several certain special cases for our results.