[PDF] Top 20 Certain Results on Subclasses of Bi-Univalent Functions Associated with Hohlov Operator

... 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

... and 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 ... See full document

... is univalent in U, the above subordination is equivalent to f (0) = g(0) and f (U) ⊂ g(U) (see [9] and ...the subclasses of A consisting of all analytic functions which are, respectively, starlike of ... See full document

... [17] P. Eenigenburg, S. S. Miller, P. T. Mocanu, and M. O. Reade, “On a Briot-Bouquet differential subordination,” in General Inequalities, 3 (Oberwolfach, 1981), vol. 64 of Internationale Schriften- reihe zur Numerischen ... See full document

... then p is a solution of the differential superordination (1). (If f subordinate to F , then F is called to be superordinate to f .) An analytic function q is called a subordinant if q  p for all p satisfying (1). An ... See full document

... which are analytic and p-valent in the punctured unit disc U ∗ = { z : z ∈ C and  < | z | <  } . If f (z) and g(z) are analytic in U = U ∗ ∪ {}, we say that f (z) is subordinate to g(z), written f ≺ g or f (z) ≺ ... See full document

... bounded bi-univalent function subclasses were defined by using Salagean q-differential ...The functions are defined in the open unit disc of complex ...for functions in these ... See full document

... novel subclasses Γ λ n, α, β and Γ ∗ λ n, α, β of meromorphic p-valent functions by using the linear operator D n λ ...the results are sharp for a certain subclass of ... See full document

... ( n ∈ N \ {1, 2} ; N = {1,2, 3, ...}) is still an open problem. The study of operators plays an important role in the Geo- metric Function Theory and its related fields. It is observed that this formalism brings an ease ... See full document

... unvalent functions, in Mathematical Analysis and Its Ap- plications (Kuwait; February 18–21, 1985) (S. M. Mazhar, A. Hamoui and N. S. Faour, Editors), pp. 53–60, KFAS Proceedings Series, Vol. 3, Pergamon Press ... 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

... The well-known Koebe one-quarter theorem (see[4]) asserts that the image of ∆ under every univalent function f ∈ Ω contains a disk of radius 1 4 . Thus, the inverse of f ∈ Ω is a univalent analytic function ... 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

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

... Let A denote the class of analytic function satisfying the condition f(0) = f ’ (0) - 1 = 0 in the open unit disc U = {z : | z |< 1} . By S, C, S*, C*, and K we means the well-known subclasses of A which ... See full document

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

... and SRIVASTAVA, H.M., Analytic solutions of a class of Briot-Bouquet differential equations, in Current Topics m Analyttc Function Theory H.M Srivastava and S Owa, Editors, 252-259, Worl[r] ... See full document

... is univalent, then f ≺ g if and only if f () = g() and f (D) ⊆ ...various subclasses of starlike and convex functions for which either of the quantities zf (z)/f (z) or  +zf (z)/f (z) is ... See full document

... some subclasses of analytic functions in compact ...investigating certain classes of functions which are analytic in the open ...analytic functions and q  hypergeometric ... See full document

... some subclasses of analytic functions in compact ...investigating certain classes of functions which are analytic in the open ...analytic functions and q  hypergeometric ... See full document