Results 71 to 80 of about 360,320 (184)
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)} |
Ma, William, Minda, David
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Mathematics, 2019 In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
Hari M. Srivastava +6 more
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On certain subclass of close-to-convex functions
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1988 Let \(A_ n\) denote the class of regular functions such that \[ f(z)=z+\sum^{\infty}_{k=n+1}a_ kz^ k\quad (n=1,2,...)\quad (| z|
Owa, Shigeyoshi, Ma, Wancang
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function.
PLoS ONEThe article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions.
Ahmad A Abubaker +3 more
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Torsion and ground state maxima: close but not the same
, 2015 Could the location of the maximum point for a positive solution of a semilinear Poisson equation on a convex domain be independent of the form of the nonlinearity? Cima and Derrick found certain evidence for this surprising conjecture.
Benson, Brian A. +3 more
core
On certain classes of close‐to‐convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 The author defines a class \(R_ n\) \((n=0,1,2,\dots)\) of analytic functions as follows: \(f(z)=z+\sum^ \infty_ 2 a_ k z^ k\) belongs to \(R_ n\) if and only if it is analytic and \(\text{Re}\bigl[z((D^ n f(z))'/(D^ n f(z)))\bigr]>0\) in the open unit disc. \(f\in K_ n\) if there exist \(g\in R_ n\) such that \(\text{Re}\bigl[z((D^ n f(z))'/(D^ n g(z))
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MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Korean Mathematical Society, 2003 Let \({\mathcal A}\) be the class of functions \(f(z)=z+\sum_{k=2}^\infty a_kz^k\) that are analytic in the unit disc \({\mathcal U}=\{z:|z|
Cho, Nak Eun, Kim, Tae Hwa
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Journal of Inequalities and ApplicationsOur aim in the present investigation is to examine certain geometric properties such as close-to-convexity, starlikeness and convexity of a certain class of analytic functions related to the generalized Marcum Q-function. Moreover, along with corollaries
Abdulaziz Alenazi, Khaled Mehrez
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Properties for Close-to-Convex and Quasi-Convex Functions Using q-Linear Operator
MathematicsIn this work, we describe the q-analogue of a multiplier–Ruscheweyh operator of a specific family of linear operators Iq,ρs(ν,τ), and we obtain findings related to geometric function theory (GFT) by utilizing approaches established through subordination ...
Ekram E. Ali +3 more
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International Journal of Distributed Sensor Networks, 2018 Received signal strength–based target localization methods normally employ radio propagation path loss model, in which the log-normal shadowing noise is generally assumed to follow a zero-mean Gaussian distribution and is uncorrelated.
Shengming Chang +3 more
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