Results 31 to 40 of about 4,110 (218)
Univalent functions defined by Ruscheweyh derivatives
International Journal of Mathematics and Mathematical Sciences, 1983 We study some radii problems concerning the integral operator F(z)=γ+1zγ∫°zuγ−1f(u)du for certain classes, namely Kn and Mn(α), of univalent functions defined by Ruscheweyh derivatives. Infact, we obtain the converse of Ruscheweyh's result and improve
S. L. Shukla, Vinod Kumar
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Coefficient estimates for some classes of p-valent functions
International Journal of Mathematics and Mathematical Sciences, 1988 Let Ap, where p is a positive integer, denote the class of functions f(z)=zp+∑n=p+1anzn which are analytic in U={z:|z|
M. K. Aouf
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On certain classes of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1993 A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
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A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]
Opuscula Mathematica, 2013 In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah +3 more
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On Janowski Starlike Functions [PDF]
Journal of Inequalities and Applications, 2007 Applying the fractional calculus to analytic functions \(f(z)\) defined on the open unit disc \(U\) with \(f(0)=0\) and \(f^\prime(0)=1\) [cf. \textit{W. Janowski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 17--25 (1973; Zbl 0252.30021)], the authors introduce a new fractional operator \(D^\lambda f(z)\) and define a subclass of the ...
Çağlar, Mert +4 more
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Subclasses of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1983 Let 𝒦[C,D], −1 ...
E. M. Silvia
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Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions [PDF]
, 2023 summary:In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients.
Kumar, Virendra +2 more
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Proceedings of the American Mathematical Society, 1985 The authors show that for normalized odd starlike functions f(z) \[ Re(f(z)/S_ n(z,f))>,\quad | z|
Singh, Ram, Puri, Sangita
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Droplet friction on superhydrophobic surfaces
Droplet, Volume 5, Issue 2, April 2026.By developing an experimental setup that simultaneously measures the friction force, macroscopic shape profile, and the macro‐ and microscopic contact line dynamics of a laterally sliding droplet, this study establishes an analytical model that predicts droplet friction on pillared superhydrophobic surfaces relying only on surface geometrical ...
Youhua Jiang, Chuanqi Wei
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On radii of starlikeness and convexity for convolutions of starlike functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
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