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Journal of Function Spaces, 2021 It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi +3 more
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The Third Logarithmic Coefficient for Certain Close-to-Convex Functions
Journal of Mathematics, 2022 The logarithmic coefficients γn of a normalized analytic functions f are defined by log fz/z=2∑n=1∞γnzn. For certain close-to-convex functions fz=z+a2z2+⋯, Cho et al. (on the third logarithmic coefficient in some subclasses of close-to-convex functions)
Najla M. Alarifi
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Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions
AxiomsThe concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel +2 more
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The third logarithmic coefficient for the class S [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2020 In this paper we give an upper bound of the third logarithmic coefficient for the class $\mathcal{S}$ of univalent functions in the unit disc.
Milutin OBRADOVIĆ, Nikola TUNESKI
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Logarithmic coefficients and a coefficient conjecture for univalent functions [PDF]
Monatshefte für Mathematik, 2017 11 pages, 4 figures; To appear in Monatshefte fuer Mathematik; In the earlier version, there were a couple of small mistakes (see the proof of Theorem 1) but the statement remains the ...
Obradović, Milutin +2 more
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Fractal and Fractional, 2022 Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
Lei Shi +4 more
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Mathematics, 2022 The purpose of this study was to obtain the sharp Hankel determinant H2,1Ff/2 and H2,2Ff/2 with a logarithmic coefficient as entry for the class BT3L of bounded turning functions connected with a three-leaf-shaped domain.
Lei Shi +3 more
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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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Erratum to: Logarithmic coefficients and a coefficient conjecture for univalent functions [PDF]
Monatshefte für Mathematik, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Obradović, Milutin +2 more
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Successive Logarithmic Coefficients of Univalent Functions
Computational Methods and Function Theory, 2023 AbstractThe paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of $$|\gamma _2(f)|-|\gamma _1(f)|$$ | γ 2
Lecko, Adam, Partyka, Dariusz
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