Results 31 to 40 of about 13,123 (205)
Hölder Inequalities for a Generalized Subclass of Univalent Functions Involving Borel Distributions
Mathematics, 2022 In this article, by making use of the Borel distributions series, we introduce a new family of normalized holomorphic functions in the open unit disk and investigate necessary and sufficient conditions for functions f to be in this new class. Furthermore,
Gangadharan Murugusundaramoorthy +1 more
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On Univalent Polynomials [PDF]
Proceedings of the American Mathematical Society, 1976 We define V n
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The radius of convexity of certain analytic functions II
International Journal of Mathematics and Mathematical Sciences, 1980 In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
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On Convex Univalent Functions with Convex Univalent Derivatives
Rocky Mountain Journal of Mathematics, 2005 The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
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CoRR, 2022 Univalent categories constitute a well-behaved and useful notion of category in univalent foundations. The notion of univalence has subsequently been generalized to bicategories and other structures in (higher) category theory. Here, we zoom in on monoidal categories and study them in a univalent setting.
Wullaert, Kobe +2 more
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Properties of Functions Formed Using the Sakaguchi and Gao-Zhou Concept
Mathematics, 2020 This paper introduces a new class related to close-to-convex functions denoted by K s k , N . This class is based on combining the concepts of starlike functions with respect to N-ply symmetry points of the order α , introduced by ...
Jonathan Aaron Azlan Mosiun +1 more
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Brief Study On A New Family of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisThe authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{
Jamiu Hamzat +2 more
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Several Subordination Features Using Bessel-Type Operator
MathematicsFor the function solution to the well-known homogeneous Bessel differential equation, we utilized a normalized form of this function to define a certain operator on a subclass of analytic functions.
Rabab Alyusof +2 more
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Univalence of normalized solutions of W″(z)+p(z)W(z)=0
International Journal of Mathematics and Mathematical Sciences, 1982 Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where ...
R. K. Brown
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Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions
AxiomsNew subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh +5 more
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