[PDF] Top 20 Coefficient estimates for new subclasses of Ma Minda bi univalent functions

... certain subclasses of a bi-univalent func- tion class σ similar to the familiar subclasses S ∗ (α) and K(α) of starlike and convex func- tions of order α ( < α ≤ ), respectively (see ... 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

... [2]). Ma and Minda [3] gave a unified representation of various subclasses of starlike and convex functions by introducing the classes S ∗ (ϕ) and K(ϕ) of functions f ∈ S satisfying zf ... 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

... In the current work, we delineate a comprehensive class of bi-univalent functions connected with a bounded boundary variation to get the estimates of the first two Taylor–Maclaurin coefficients. ... See full document

... second coefficient of a univalent function in |z| < 1, ...Pommerenke, Univalent functions, Vandenhoeck and Ruperchi, G¨ ottingen ...Ruscheweyh, New criteria for univalent ... See full document

... of bi-univalent analytic in , which was introduced in 1967 by Levin was received in current years by Srivastava et al ...various subclasses of the class Ʃ of bi-univalent analytic ... See full document

... these subclasses of Ma-Minda starlike and convex functions in Sec- tion ...growth estimates and the convo- lution ...of univalent functions and the results for some of ... See full document

... various subclasses of the bi-univalent function class Σ in recent ...different subclasses of the bi-univalent function class Σ were introduced and studied analogously by many ... See full document

... [1] H. Airault and J. Ren, “An algebra of differential operators and generating functions on the set of univalent functions,” Bulletin des Sciences Math´ematiques, vol. 126, no. 5, pp. 343–367, 2002. ... 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

... be bi-univalent in the open unit disk U if both the function and its inverse are univalent in U ...and bi-univalent functions in U given by the Taylor–Maclaurin series expansion ... See full document

... of bi-univalent Sak- aguchi type functions, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in these ...our estimates improve some of those ... 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

... Cang; Minda, David. A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157 - 169, ...Cambridge, MA, ... 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 ... See full document

... the coefficient problems involving bi-univalent functions was revived recently by Sriva- stava et ...Various subclasses of the bi-univalent function class Σ were ... See full document

... be bi-univalent in ∆ if both f (z) and f −1 (z) are univalent in ∆, these classes are denoted by ...certain subclasses of bi-univalent function class Σ, namely bi- ... See full document

... all functions normalized, analytic and univalent in the unit disk U of the form ...eodory functions, so that P = { p : p analytic in U , Re { p(z) } > 0 } ... See full document

... A complex-valued harmonic function F = u + iv in the unit disk D = {z : |z| < 1} admits the decomposition F = h + g, where both h and g are analytic in D (see [9]). Here h and g are referred to as analytic and ... See full document