Results 21 to 30 of about 47,345 (292)

On the logarithmic coefficients of close to convex functions [PDF]

open access: greenProceedings of the American Mathematical Society, 2015
For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $ _{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} _{n}z^{n}$ when $n=1, 2,3$.
Derek K. Thomas
openaire   +5 more sources

A subclass of close-to-convex functions

open access: hybridTamkang Journal of Mathematics, 2013
In this paper, we introduce and investigate an interesting subclass $\mathcal {J}_\alpha(h)$ of analytic and close-to-convex function in the open unit disk D. several coefficient inequalities, growth, and distortion theorem for this class are proved. The various results presented here would generalize many know results.
Qing Hua Xu, Zheng Lv Zhang
openaire   +5 more sources

On close-to-convex analytic functions [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1965
Ch. Pommerenke
openaire   +3 more sources

A class of close-to-convex functions [PDF]

open access: bronzeCzechoslovak Mathematical Journal, 1968
R. M. Goel
openaire   +3 more sources

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian   +2 more
doaj   +1 more source

Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation

open access: yesAIMS Mathematics, 2023
In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds.
Prathviraj Sharma   +2 more
doaj   +1 more source

On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation

open access: yesMathematics, 2023
In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with ...
Daniel Breaz   +3 more
doaj   +1 more source

Starlike and convex functions of complex order involving generalized multiplier transformations [PDF]

open access: yesMathematica Bohemica, 2021
We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
Adela Osman Mostafa   +2 more
doaj   +1 more source

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