Results 31 to 40 of about 11,578 (225)
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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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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Bounds for the Second Hankel Determinant of Certain Univalent Functions
, 2013 The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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International Journal of Mathematics and Mathematical Sciences, 1992 By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying relationships between them are established.
Khalida Inayat Noor
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Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
, 2011 A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-
Ali, Rosihan M. +2 more
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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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Spirallikeness of shifted hypergeometric functions
, 2016 In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
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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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A New Measure of Quantum Starlike Functions Connected with Julia Functions
Journal of Function Spaces, 2022 In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid +2 more
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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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