Results 21 to 30 of about 365,170 (335)
Coefficient Inequalities for Strongly Close-to-Convex Functions
Journal of Mathematical Analysis and Applications, 1997 Let \(f(z)=z+a_2 z^2+a_3 z^3+ \cdots\) be a normalized, strongly close-to-convex function of order \(\alpha\) on the unit disk. This means that there exist a normalized convex univalent function \(\varphi\) and a real number \(\beta\) such that \(|\arg {f'(z) \over e^{i\beta} \varphi'(z)} |
W. Ma, D. Minda
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New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics 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
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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
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On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation
Mathematics, 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
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On Generalizations of the Close-to-Convex Functions Associated with q-Srivastava–Attiya Operator
Mathematics, 2023 The study of the q-analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the help of the q ...
D. Breaz +3 more
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Certain properties of a class of analytic functions involving the Mathieu type power series
AIMS Mathematics, 2023 In this paper, we studied some geometric properties of a class of analytic functions related to the generalized Mathieu type power series. Furthermore, we have identified interesting consequences and some examples accompanied by graphical representations
Abdulaziz Alenazi, Khaled Mehrez
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A note on close-to-convex functions.
Journal of the Mathematical Society of Japan, 1956 Yoshikazu Miki
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Journal of Nonlinear and Variational Analysis, 2021 By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of the bi-close-to-convex functions defined in the open unit disk.
H. Srivastava +2 more
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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk
Axioms, 2022 We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients.
Živorad Tomovski +3 more
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Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction
Mathematics, 2023 The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani +3 more
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