[PDF] Top 20 Coefficient bounds for certain subclasses of starlike functions

... class of univalent functions was investigated by Pommerenke [15] and Hayman [7]. For successive developments in this direction till 2013, refer to [9]. In 2013, Sarfraz and Malik [22] obtained the upper bound on ... See full document

... In this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion ... See full document

... hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coe ffi cients and obtain coefficient estimates, ... See full document

... (uniformly starlike) in U if f (z) is in CV (ST) and has the property that for every circular arc γ contained in U , with center ξ also in U , the arc f (γ) is convex (starlike) with respect to f ...convex ... See full document

... coeffcient bounds for functions in certain subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler type ... See full document

... 𝑧(𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 ) ′ (𝑧) = (𝑐 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝑐𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 (𝑧) , (1.15) 𝑧(𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = (𝜇 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝜇𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 (𝑧) , (1.16) 𝑧(𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = 𝑑𝐽 𝜆,𝜇 𝑐,𝑑+1 𝑓 (𝑧) − (𝑑−1) 𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ... See full document

... univalent functions with negative coefficients in the open disk U = * | | + defined by Hadamard product with Rafid Operator,we obtain coefficient bounds , extreme points for this class ,Also weighted ... See full document

... S a is the class of starlike functions of order We note that AI0,1, a and that Aln,l, is the class of convex functions of order ,a K AI1,1 is the class of functions defined by Salagean [r] ... See full document

... Proof. The proof of Theorem 2.1 is much akin to the proof of theorems on coefficient bounds established in [7, 17, 26], so we skip the details in this regard. Corollary 2.2. Let the function f (z) defined ... See full document

... investigated bounds on initial coefficients of inverse of starlike functions of order α and their results were extended by Kapoor and Mishra ...sharp bounds on early coefficients of inverse ... See full document

... of starlike functions are characterized by the quantity zf (z)/f (z) lying in some domain in the right ...strongly starlike of order β if zf (z)/f (z) lies in a sector | arg w| < βπ/, while it is ... See full document

... introduce certain subclasses of analytic functions involving the integral operators that generalize the class of uniformly starlike, convex, and close-to-convex functions with respect ... See full document

... AOUF Department of Mathematics, Faculty of Science University of Mansoura Mansoura, Egypt.. Department of Mathematics, Faculty of Science University of Qatar P.O.[r] ... See full document

... the coefficient estimates for func- tions in certain new subclasses of starlike and convex functions of complex or- der γ, which are introduced by means of a generalized differential ... See full document

... the subclasses of S that are respectively, starlike and ...by certain geometric conditions, Goodman [1,2] introduced an interesting subclass of starlike functions called uniformly ... See full document

...    (1) analytic in the open unit disc U and normalized by f   0  0 and f    0  1 . Also, we denote S to be the class of functions in A containing univalent function of the form (1). According to Duren ... See full document

... We introduce and study some new subclasses of p-valent starlike, convex, close-to-convex, and quasi-convex functions defined by certain Srivastava-Attiya operator.. Inclusion relations a[r] ... See full document

... Bazilevi function, starlike function of order convex function of order B, subordination... 1980 MATHEMATICS SUBJECT CLASSIFICATION..[r] ... See full document

... all functions of the form (1) which are univalent in ...important subclasses of S, which are the well-known subclasses of starlike and con- vex functions, namely, S ∗ and K, for which ... See full document

... Sivasubramanian, “A coefficient inequality for certain classes of analytic functions of complex order,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Karunakaran, “On a cl[r] ... See full document