Results 41 to 50 of about 47,345 (292)
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.
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Close-to-convexity of quasihyperbolic and $j$-metric balls
, 2010 We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls ...
Klén, Riku
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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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Weakly close-to-convex-functions [PDF]
Rocky Mountain Journal of Mathematics, 1988 We obtain coefficient bounds and integral means inequalities for the class of multivalent weakly close to convex functions. We also consider the integral means problem for the subclass of multivalent convex functions. Introduction. Let S(p) denote the class of functions / , analytic in A = { z : | 2 : | 0 so that Re[zf(z)/f(z)} > 0 for 6 0 such ...
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Uniform close-to-convexity radius of sections of functions in the close-to-convex family
, 2014 The authors consider the class $\F$ of normalized functions $f$ analytic in the unit disk $\ID$ and satisfying the condition $${\rm Re}\left(1+\frac{zf''(z)}{f'(z)}\right)>-\frac{1}{2},\quad z\in\D. $$ Recently, Ponnusamy et al. \cite{samy-hiroshi-swadesh} have shown that $1/6$ is the uniform sharp bound for the radius of convexity of every section ...
Bharanedhar, s. V., Ponnusamy, S.
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Fractal and Fractional, 2019 In the present research paper, our aim is to introduce a new subfamily of p-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
Shahid Mahmood +4 more
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou +3 more
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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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About a condition for starlikeness
Acta Universitatis Sapientiae: Mathematica, 2013 A result concerning the starlikeness of the image of the Alexander operator is improved in this paper. The techniques of differential subordinations are used.
Szász Róbert
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Cerebral Amyloid Angiopathy Is Associated With Higher R2 Relaxation Rate: An MRI and Pathology Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cerebral amyloid angiopathy (CAA) involves β‐amyloid deposition in the walls of cortical and leptomeningeal small vessels. Transverse relaxation rate (R2) is a major source of contrast in MRI. This study tested the hypothesis that CAA is associated with R2, extracted the spatial pattern of CAA‐related R2 abnormalities, and evaluated ...
Md Tahmid Yasar +6 more
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