On a Class of Close-to-Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1972 We look at functionsf(z) for which there correspond functions +(z) convex of order a such that Re{f'(z)lq'(z)}>fl. We examine the influence of the second coefficient of +(z) on this class. In particular, distortion, covering, and radius of convexity theorems are proved.
openaire +1 more source
Analytic functions close to mappings convex in one direction
, 1971 By analogy to the class of close-to-convex functions we define a class of analytic functions which are close to a family Σ \Sigma of mappings onto domains convex in one direction. In contrast to the close-to-convex class the close-to-
Glenn Schober, Walter Hengartner
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Some Properties of a Subclass Involving Close - to - Convex of Univalent and Multivalent Functions
Wasit Journal for Pure SciencesOur work included studying some subclasses of functions (univalent - multivalent) that are close to convex. which is divide into two parts. First part, we discussed the properties of parameter estimates, the implication relation, distortion theorem, and
Nada Mohammed Abbas Abbas
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Logarithmic coefficients for certain subclasses of close-to-convex functions [PDF]
, 2016 Let $$\mathcal {S}$$S denote the class of functions analytic and univalent (i.e. one-to-one) in the unit disk $$\mathbb {D}=\{z\in \mathbb {C}:\, |z|0 ~ \text{ resp.
U. P. Kumar, A. Vasudevarao
semanticscholar +1 more source
Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions
MathematicsIn this article, we first consider the fractional q-differential operator and the λ,q-fractional differintegral operator Dqλ:A→A. Using the λ,q-fractional differintegral operator, we define two new subclasses of analytic functions: the subclass S*q,β,λ ...
Zeya Jia +5 more
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On Certain Sufficient Conditions For A Function To Be Close-To-Convex Function
, 2015 We consider certain properties of 1- (zg'(z)/f'|(z)) as a sufficient condition for a function f (z) to be a close-to-convex function.Keywords: Univalent function, Convex function, Starlike function, Close-to-convex function.
Monsurat, AG, Abolape, DA, Jimoh, M
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Radius of convexity of partial sums of odd functions in the close-to-convex family [PDF]
, 2016 We consider the class of all analytic and locally univalent functions $f$ of the form $f(z)=z+\sum_{n=2}^\infty a_{2n-1} z^{2n-1}$, $|z| -\frac{1}{2}. $$ We show that every section $s_{2n-1}(z)=z+\sum_{k=2}^na_{2k-1}z^{2k-1}$, of $f$, is convex in the ...
S. Ponnusamy, S. Sahoo, H. Yanagihara
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Coefficient estimates for Libera type bi-close-to-convex functions
, 2021 In a very recent paper, Wang and Bulut [A note on the coefficient estimates of bi-close-to-convex functions, C. R. Acad. Sci. Paris, Ser. I 355 (2017), 876-880] determined the estimates for the general Taylor-Maclaurin coefficients of functions belonging
BULUT, SERAP
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Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
FEBS Letters, EarlyView.The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
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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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