[PDF] Top 20 Some Sandwich Theorems for Certain Analytic Functions Defined by Convolution

... g(z) ≺ ϕ(h(z), zh ′ (z), z 2 h ′′ (z); z), (2) then g is a solution of the differential superordination (2). A function g ∈ H(U) is called a subordinant of (2), if q(z) ≺ h(z) for all the functions h satisfying ... See full document

... then 𝑘 is called a solution of the differential superordination (1.2). ( If f is subordinate to 𝑔 , then 𝑔 is superordinate to 𝑓 ). An analytic function 𝑞 is called a subordinant of (1.2), if 𝑞 ≺ 𝑘 for all 𝑘 ... 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

... considered certain classes of first order differential superordinations as well as superordination-preserving integral operators ...normalized analytic functions to ... See full document

... Srivastava and Attiya [13] introduced and investigated following family of linear operator which was further studied by Li [6] and Prajapat and Goyal [11]. This operator is defined in terms of the Hadamard product of two ... 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 functions in U , we say that f is subordinate to g, written f ≺ g if there exists a Schwarz function w, which (by definition) is analytic in U with w(0) = 0 and |w(z)| < 1 for all z ∈ ... See full document

... derived some subordination results of certain sub- classes of multivalent analytic functions which are defined by a generalized fractional differintegral ...these functions by ... See full document

... “Differential Sandwich Theorems for Cer- tain Analytic Functions,” Far East Journal of Mathe- matical Sciences, ...“On Certain Sufficient Conditions for ... See full document

... two functions f and Φ, analytic in U, we say that the function f (z) is subordinate to Φ(z) in U, and write f (z) ≺ Φ(z) (z ∈ U ), if there exists a Schwarz function w(z), which (by definition) is ... See full document

... The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk. Relevant connec- tions of the ... See full document

... Ponnusamy, “Univalence and starlikeness of certain transforms defined by convolution of analytic functions,” Journal of Mathematical Analysis and Applications, vol.. Bao, “Some propertie[r] ... See full document

... An analytic function q (z) is called a subordinant of the solutions of the differential superordination (4) if q (z) ≺ p (z) for all p (z) satisfying ...sidered certain classes of first order differential ... See full document

... Recently, Wang et al. 3 obtained several inclusion relationships and integral- preserving properties associated with some subclasses involving the operator Q λ α,β , some sub- ordination and superordination ... See full document

... the Srivastava-Attiya operator, and J 0,b λ,k is the well-known Choi-Saigo- Srivastava operator (see [6, 14]). It is of interest to note that for λ = 1; k = 2, and specializing the parameters µ and b suitably we get ... See full document

... familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships ... See full document

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

... are analytic in the open unit disk U = {z ∈ C : |z| < ...convex functions of order α (0 ≤ α < 1) and let S ∗ (0) = S ∗ and K (0) = K ...are analytic in U , we say that f is subordinate to g in ... See full document

... [2] T. Bulboaca, Classes of first-order differential superordinations, Demonstratio Math. 35(2) (2002), pp. 287–292. [3] T. Bulboaca , A class of superordination-preserving integral operators, Indag. Math. (N. S.) 13(3) ... See full document

... Lemma . ([]) Let ε be a positive measure on [, ]. Let g be a complex-valued func- tion defined on E × [, ] such that g(·, t) is analytic in E for each t ∈ [, ] and g(z, ·) is ε-integrable on [, ] for ... See full document