[PDF] Top 20 Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

... operator see 3, includ as its special cases various other linear operators introduced and studied by Carlson and Shaffer 4, Owa 5, Ruscheweyh 2, and Srivastava and Owa 6. Motivated by Goodman 7, 8, Rønning 9, 10 ... See full document

... In this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion ... See full document

... univalent functions is denoted by S. Among the many subclasses of S the classes of starlike and convex functions are the most studied ...the complex plane C is called starlike ... See full document

... (uniformly starlike) in U if f (z) is in CV (ST) and has the property that for every circular arc γ contained in U , with center ξ also in U , the arc f (γ) is convex (starlike) with respect to f ...convex ... See full document

... 𝑧(𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 ) ′ (𝑧) = (𝑐 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝑐𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 (𝑧) , (1.15) 𝑧(𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = (𝜇 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝜇𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 (𝑧) , (1.16) 𝑧(𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = 𝑑𝐽 𝜆,𝜇 𝑐,𝑑+1 𝑓 (𝑧) − (𝑑−1) 𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ... 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.) ... 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

... spiral-like functions de…ned by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships of ... See full document

... “Certain Subclasses of Analytic Functions with Fixed Argument of Coefficients Involving the Wright’s Function,” Tamsui Oxford Journal of Mathe- matical Sciences, ...“On Generalized ... See full document

... two functions f (z) and g(z), analytic in U , we say that f (z) is subordinate to g(z) in U , and we note f (z) ≺ g(z), (z ∈ U ), if there exists a Schwarz function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < ... See full document

... the subclasses of Ꮽ consisting of all analytic functions which are, respectively, starlike of order η, convex of order η, close-to-convex of order η, and type β in U ... See full document

... For f and g be analytic in U , we say that the function f is subordinate to g in U , if there exists an analytic function w in U such that | w ( z ) |< 1 with w (0) = 0 , and f ( z ) = g ( w ( z )) , and we denote ... See full document

... well-known subclasses of S, the class consisting of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated ... See full document

... Aouf, Certain subclasses of meromorphically multivalent functions associated with gen- eralized hypergeometric function, Comput.. Srivastava, A new criterion for meromorphically p- valen[r] ... See full document

... study certain subclasses of analytic functions in the open unit disk U which is defined by the differential operator DR m,n λ ...a generalized Bernardi-Libera-Livington integral operator is ... See full document

... A function f ∈ A is said to be bi-univalent in ∆ if both f and f −1 are univalent in ∆. Let Σ denote the class of bi- univalent functions in ∆ given by (1.1). For a brief his- tory and interesting examples in the ... See full document

... of functions in the open unit disc D that are normalized with h(0) = h ′ (0) − 1 = 0, then a function h(z) ∈ A is called convex on starlike if it maps D into a convex or starlike region, ...are ... See full document

... in [18, 19]. Properties of this GWHF were investigated in [8], (see also [10, 9]. In particular, it was proved [8] that p ψ q (z), z ∈ C is an entire function under the condition (5). Compo- sitions of GBF and GSF with ... See full document

... analytic functions with its Laurent series around the origin having integral coefficients, is rational ...meromorphic functions, see [], and various prop- erties of these determinants can be found in [, ... See full document

... Subordination, fractional derivative, fractional integral, generalized Libera operator.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ... See full document