[PDF] Top 20 Coefficient Estimates for the Generalized Subclass of Analytic and Bi-univalent Functions

... The coefficient bounds for the class Σ have been studied by Lewin [1], Brannan and Clunie [2], Netanyahu ...The coefficient estimate problem for |a n | (n ∈ N \ {1, 2}; N := {1, 2, 3, · · · }) is presumably ... See full document

... be bi-univalent in  if both f and f − 1 are univalent in  ...all bi-univalent functions in  ...of functions in the class Σ see [2] and the references ... See full document

... An analytic function f is subordinate to an analytic function g, written f ≺ g, if there is an analytic function w with |w(z)| ≤ |z| such that f = ...is univalent, then f ≺ g if and only if f ... See full document

... meromorphic Bi- univalent functions, we use the instrument of the well-known Faber polynomial expansions to determine estimates for a general subclass of analytic ... See full document

... nomial expansions [10, 13, 14]. Hamidi and Jahangiri [10] considered the class of analytic bi-close-to-convex functions. Also, Jahangiri and Hamidi [13] studied the class defined by Frasin and Aouf ... See full document

... Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Source of support: Nil, Conflict of interest: None Declared[r] ... See full document

... S ¸ahsene Altınkaya was born in 1990. She received her B.S. degree in mathemat- ics (2012) from Erciyes University and her M.S. degree in mathematics (2014) from Uludag University, Turkey. She is a Research Assistant of ... See full document

... We are now in a position to establish our main result. In this section we deal with some interesting coefficient estimates for the above-mentioned class and its some subclasses. Actually, It is convenient ... See full document

... an analytic function  with positive real part in the unit disk U ,  (0)  1 ,  (0)  0 and  maps U onto a region starlike with respect to 1 and symmetric with respect to the real ... See full document

... starlike univalent functions of order α (0 ≤ α < 1) having m-fold gap series repre- ...meromorphic bi-univalent functions f ∈ Σ and used the Faber polyno- mial expansions to obtain ... See full document

... Subramanian, Second Hankel determinant for certain classes of analytic functions, Bonfring International Journal of Data Mining , 2(2) (2012), 57–60. Received : March 05, 2014; Accepted [r] ... See full document

... [2] D.A. Brannan, T.S. Taha, On some classes of bi-univalent functions, in: S.M. Mazhar, A. Hamoui, N.S. Faour (Eds.), Mathematical Analysis and its Applications, Kuwait; February 18–21, 1985, in: ... See full document

... be bi-univalent in ∆ if both f and f −1 are univalent in ...of bi- univalent functions in ∆ given by ...general coefficient |a n | ... See full document

... the subclass of the analytic function class A consisting of all functions in A which are also univalent in U ...two functions f and g, analytic in U , we say that f (z) is ... See full document

... of analytic functions in compact ...of functions which are analytic in the open ...normalized analytic functions and q  hypergeometric ... See full document

... of analytic functions in compact ...of functions which are analytic in the open ...normalized analytic functions and q  hypergeometric ... See full document

... By using generalized Salagean differential operator a new class of univalent holomorphic functions with fixed finitely many coefficients is defined.. Coefficient estimates, extreme point[r] ... See full document

... are analytic in the open unit disc U = { z ∈ C : | z | < ...holomorphic functions in U . By S and K we denote the subclasses of functions in A which are univalent and convex in U , ... See full document

... A function f (z) is uniformly convex (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 ... See full document

... of bi-univalent functions defined in the unit disc ...the bi-univalent functions and obtained bounds for the initial coefficients; it was followed by such works as those by ... See full document