[PDF] Top 20 Coefficient Estimates for a Certain General Subclass of Analytic and Bi Univalent Functions

... The estimates on the coefficients a 2 and a 3 of Corollaries 1 and 2 are improvement of the estimates obtained in [10], Theorems 4 and ...the estimates on the co- efficients a 2 and a 3 are ... 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

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

... The Faber polynomials introduced by Faber [6] play an important role in various areas of mathematical sciences, especially in geometric function theory. The recent publications [9] and [11] applying the Faber polynomial ... See full document

... convex functions of order β (see [1], ...convex functions of order α( 0 ≤ α < 1 ) can be obtained by S α ∗ : = S ∗ ((( 1 + z )/( 1 − z )) α ) and K α : = K((( 1 + z )/( 1 − z )) α ) (see ... 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

... 3 Coefficient Bounds for the Function Class K Σ ∗ (µ,m,x) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621 4 Coefficient Bounds for the Function ... See full document

... all functions in A which are univalent in ...between analytic functions, let the functions f and g be analytic in ...(z), analytic in ∆ ... 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

... be bi-univalent in the open unit disk U if both the function and its inverse are univalent in U ...of analytic and bi-univalent functions in U given by the ... See full document

... more general superordinate ...an analytic function φ with positive real part in the unit disk ∆, φ(0) = 1, φ 0 (0) > 0 and φ maps ∆ onto a region starlike with respect to 1 and symmetric with respect to ... See full document

... the bi-univalent function class Σ in recent ...the bi-univalent function class Σ were introduced and studied analogously by many authors (see, for example, [2], [5], [11], [12], [13], [15] and ... 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

... and C    of the univalent function class  . Recently, Ali et al. [1] extended the results of Brannan and Taha [3] by generalising their classes using subordination. An analytic function f is ... See full document

... new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative ...of analytic functions belonging to the subclass ... See full document

... Let S be the subclass of A consisting of all functions f of the form (1) which are univalent in U . A function f ∈ A is said to be in k − U CV , the class of k-uniformly convex function (0 ≤ k < ... See full document

... In 1985, Silvia[11] studied the partial sums of convex functions of order α. Later, Silverman [10], Abubaker and Darus[1], Dixit and Porwal[3], Frasin[4, 5], Raina and Bansal[8], Rosy et al.[9] and Porwal and ... See full document

... Norm Estimates for Univalence of Analytic Functions, Iranian Journal of Mathematical Sciences and Informatics, 9 (2), (2014), ...Goodman, Univalent Functions, ...l, Certain ... See full document

... Abstract. This article provides a continuation of paper by Libera and Z lotkiewicz [Proc. Amer. Math. Soc. 87(2) (1983), 251–257], in which they investigated upper bounds on initial coefficients of inverse of a function ... See full document

... (1.1) Functions in S ∗ [ A , B ] are called the Janowski starlike functions ([1, ...2]). Certain well- known subclasses of starlike functions are special cases of the class S ∗ [A,B] for ... See full document