[PDF] Top 20 Coefficient Estimates for Certain Subclasses of Analytic Functions of Complex Order

... Recently, several authors have obtained many interesting results for various subclasses of analytic functions involving the S˘ al˘ agean derivative operator D n f ( z ).. Their are many [r] ... See full document

... hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions,” Nagoya Mathematical Journal, ... See full document

... 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

... The neighborhoods of function was studied among others by Altintas et al. ( [ 6 ] , [7] and [8]), Srivastava et al. ( [2], [3], [9]and [10]) and Aouf [11] (see also Prajapart and Raina [ 12 ] ). In this paper we obtain ... 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

... A function f ∈ A given by (1.1), is said to be bi-univalent in ∆ if both f (z) and f −1 (z) are univalent in ∆, these classes are denoted by Σ. Earlier, Brannan and Taha [2] introduced certain subclasses of ... See full document

... familiar subclasses of Ꮽ which con- sist of starlike functions ᏿ ∗ (β) of order β (0 β < 1), and convex functions ᏷ (β) of order β (0 β < ...the functions φ(z) and ψ(z) ... See full document

... general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic ...for functions belonging to the ... See full document

... 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

... introduced 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 ≤ ), ... 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 ... 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

... The functions in this class are strongly starlike of order arcsin(λ/π) and hence are ...starlike functions associated with left-half of the shifted lemniscate of Bernoulli and discussed the geometric ... 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 introduced and non-sharp esti- mates ... See full document

... these subclasses were obtained in several recent investigations (see [2], [4], [5], [10], [16], [17], ...of complex order γ (γ ∈ C − {0}) of Ma-Minda type if both f and f −1 are Ma-Minda starlike and ... See full document

... Abstract : - The purpose of this paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by Carlson–Shaffer ... 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

... By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying re[r] ... See full document

... are analytic in the unit disc U = {z ∈ C : |z| < ...are analytic functions in U, we say that f is subordinate to g , written f (z) ≺ g(z), if there exists a Schwarz function w, which (by ... See full document

... Attiya, “Some subordination results associated with certain subclasses of analytic functions,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Seenivasagan, “Subordination[r] ... See full document