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Subclasses of Multivalent Starlike and Convex Functions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosihan M Ali +2 more
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Convex subclass of harmonic starlike functions
Applied Mathematics and Computation, 2004A complex valued harmonic function \(f\) defined in a simply connected domain \(\Omega\) can be represented as \(f = h + \overline{g}\), where \(h\) and \(g\) are holomorphic in \(\Omega\). Such an \(f\) is locally univalent and sense preserving in \(\Omega \) if and only if \(|h'(z)| > |g'(z)|\) in \(\Omega\).
Metin Öztürk +2 more
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Convex Icebergs and Sectorial Starlike Functions
Computational Methods and Function Theory, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barnard, Roger W. +2 more
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Subclasses of Starlike Functions Subordinate to Convex Functions
Canadian Journal of Mathematics, 1985Let S denote the class of functions of the formthat are analytic and univalent in the unit disk Δ = {z:|z| < 1}, with S*(α) and K(α) designating the subclasses of S that are, respectively, starlike of order a and convex of order α, 0 ≦ α < 1. If f(z) and g(z) are analytic in Δ, we say that f(z) is subordinate to g(z), written f ≺ g, if there ...
Silverman, H., Silvia, E. M.
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Starlike, convex and close-to convex functions of complex order
Applied Mathematics and Computation, 2003The main purpose of this paper is to introduce two classes \(P_\beta (\lambda,b)\) and \(R_\beta (\lambda,b)\) \((b,a\) complex number with \(\text{Re} (b)>0)\) of functions which are analytic in the unit disc. Coefficient estimates for functions in these classes and radii of close-to convexity, starlikeness and convexity are obtained.
ORHAN, Halit, KAMALİ, Muhammet
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Products of starlike and convex functions
1977Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 29 (1975), s. 109-116 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 29 (1975), s. 109-116 ; streszcz. pol., ros.
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