Results 11 to 20 of about 365,170 (335)
Extremal problems in the class of close-to-convex functions [PDF]
, 1966 The class K of normalized close-to-convex functions in D = {z: z < 1} has a parametric representation involving two Stieltjes integrals. Using a variational method due to G. M. Goluzin (2) for classes of analytic functions defined by a Stieltjes integral,
Bernard Pinchuk
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On Janowski Close-to-Convex Functions Associated with Conic Regions
International Journal of Analysis and Applications, 2020 In this work, we introduce and investigate a class of analytic functions which is a subclass of close-to-convex functions of Janowski type and related to conic regions.
Afis Saliu, Khalida Inayat Noor
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On the coefficients of close-to-convex functions. [PDF]
Michigan Mathematical Journal, 1962 Ch. Pommerenke
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Janowski harmonic close-to-convex functions
International Journal of Mathematical Analysis, 2014 A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical representation f(z) = h(z) + g(z), where h(z) and g(z) are analytic in D{double-struck} and h(0) = g(0) = 0, and are called analytic part ...
Nilgun Turhan +2 more
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The coefficients of multivalent close-to-convex functions [PDF]
Proceedings of the American Mathematical Society, 1969 Inequality (1.1) reduces to the well-known Bieberbach conjecture when p =1. The conjecture was proven by Goodman and Robertson [3] for a function in S(p), in case all its coefficients are real and by Robertson [7], in case a, = a2 = ... = a,2 =0, the remaining coefficients being complex.
A. E. Livingston
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SOME PROPERTIES OF q CLOSE-TO-CONVEX FUNCTIONS
Hacettepe Journal of Mathematics and Statistics, 2017 Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.
Hatice Esra Özkan Uçar +2 more
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Properties for Close-to-Convex and Quasi-Convex Functions Using q-Linear Operator [PDF]
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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On close-to-convex analytic functions [PDF]
Transactions of the American Mathematical Society, 1965 C. Pommerenke
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]
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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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|
S. Owa, Wancang Ma
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