[PDF] Top 20 Majorization for Certain Classes of Analytic Functions Defined by a Generalized Operator

... (z ∈ U ; − 1 ≤ B < A ≤ 1; p ∈ N ; m, j ∈ N 0 ; γ ∈ C − { 0 } ; | γλ(A − B) + pB | ≤ p). It can be seen that, by specializing the parameters the class S λ,m p,j (A, B; γ) reduces to many known subclasses of ... 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

... The study of normalised analytic univalent functions is enhanced by the used of operators, mostly, differential and integral operators. In this study, we have implored the used of convulation of well known ... See full document

... the classes S(, γ ) = S(γ ) and K(, γ ) = K(γ ) are said to be classes of starlike and con- vex of complex order γ =  in which were considered by Nasr and Aouf [] and Wia- trowski [] (see also [, ... See full document

... 4) Lee S. K. and Johi S. B. Application of fractional calculus operators to a class of univalent functions with negative coefficients, Kyungpook Math. J., 39 (1999), 133-139. 5) Noor K. I., Some classes of ... See full document

... of certain subclasses of multivalent analytic functions which are defined by a generalized fractional differintegral ...for functions in the class S λ , μ , ... See full document

... of analytic functions, the au- thor proves several inclusion relations associated with the (n,δ)-neighborhoods of var- ious subclasses defined by Salagean ... See full document

... are analytic in the open unit disk  = { z z : ∈  and z < 1 } ...be analytic in  with f ( ) 0 = g ( ) 0 ..., analytic in  such that w ( ) 0 = 0 , w z ( ) < 1 and f z ( ) = g w z ( ( ) ) ( z ... See full document

... In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.. (1.2).[r] ... See full document

... Abstract: In this paper, we introduce the class S α,λ n,s (β ), consisting of analytic functions defined by a generalized operator. We derive coefficient inequalities, growth and ... See full document

... convex functions and corresponding class of starlike functions, Tamkang ...of certain classes of analytic functions, Bulletin of Mathematical Analysis and Applications, ... See full document

... are analytic and p -valent in the open unit disc U = { z Î ℂ : | z | < 1} was introduced by El-Ashwah and ...-valent analytic functions defined by this integral ... See full document

... We have studied a class of analytic functions defined by means of the familiar quasi hy- pergemetric functions. The necessary and sufficient conditions for a function to be in the class are obtained. ... See full document

... Inclusion relations, extreme points of R n λ, α, some convolution properties of functions belonging to R n λ, α, and other results are given... The object of this paper is to derive seve[r] ... See full document

... monic functions which are defined by fractional ...fractional operator, we define new subclasses of harmonic ...for functions related to the classes newly ...these classes are ... See full document

... and let A(1) = A. Let f and F be members of H (U ). The function f (z) is said to be subordinate to F (z), or F(z) is said to be superordinate to f (z), if there exists a function ω(z) analytic in U with ω(0) = 0 ... See full document

... Over the past few decades, several authors have obtained criteria for univalence and starlikeness depending on bounds of the functionals zf (z)/f (z) and 1 + zf (z)/f (z). See [4, 5, 7] and the references in [7]. In [2, ... See full document

... Research Article On Certain Subclasses of Analytic Functions Defined by Differential Subordination Hesam Mahzoon Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Fi[r] ... See full document

... Galiz, On a Certain Subclass of Multivalent Analytic Functions Associated with a Generalized Fractional Differintegral Operator, International Journal of Mathematical Analysis, Vol.. Mad[r] ... See full document

... these subclasses were obtained in several recent investigations (see [2], [4], [5], [10], [16], [17], [23]). A function f is bi-starlike and bi-convex of complex order γ (γ ∈ C − {0}) of Ma-Minda type if both f and f −1 ... See full document