[PDF] Top 20 Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator

... ordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness of the class ß α,β p δ, ... See full document

... all analytic functions pz with p0 1 which are defined on ...are analytic in U with f0 g0, then we say that f is said to be subordinate to g in U, written f ≺ g or f z ≺ g z, if there exists the ... See full document

... investigate some inclusion properties of certain classes of analytic functions associated with a family of linear operators which are defined by means of the Hadamard product (or ... See full document

... of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate various inclusion properties of these ... See full document

... Abstract. The main purpose of the present paper is to derive such results as inclusion relationships and convolution properties for certain new subclasses of multivalent analytic ... See full document

... “Some Properties of Certain Multivalent Analytic Func- tions Involving the Cho-Kwon-Srivastava Operator,” Journal of Mathematical and Computer Modelling, ... See full document

... determine certain classes of admissible functions and obtain some subordination and superordination implications of multivalent functions as- sociated with the Komatu integral ... 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 ...investigate some inclusion properties of these ... See full document

... The purpose of this paper is to derive some argument properties of certain multivalent functions in the open unit disk involving a linear operator.. We also investigate their integral pr[r] ... See full document

... Marouf, A certain class of multivalent prestarlike functions, involving the Srivastava-Saigo-Owa fractional integral operator, Kyungpook Math.. Breaz, Some properties of a general integ[r] ... See full document

... Correspondence: [email protected] Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, People’s Republic of China Full list of author information is avail[r] ... See full document

... of analytic functions has been useful in solving many problems in mechanics, Laplace equation, electrostatics, ...An analytic function is said to be univalent in a domain if it does not take the same ... See full document

... 1. Robertson, MS: On the theory of univalent functions. Ann. Math. 37, 374-408 (1936) 2. Marx, A: Untersuchungen über schlichte Abbildungen. Math. Ann. 107, 40-67 (1932/33) 3. Strohhäcker, E: Beiträge zur Theorie ... See full document

... harmonic functions in a simply connected domain D in the complex plane  , then a continuous function f   u iv is called a com- plex valued harmonic map in D ... See full document

... 8. Nunokawa, M, Thomas, DK: On convex and starlike functions in a sector. J. Aust. Math. Soc. A 60, 363-368 (1996) 9. Obradovic, M, Owa, S: Some sufficient conditions for strongly starlikeness. Int. J. Math. ... See full document

... are analytic in the open unit disk U = { z ∈ C : | z | < 1 } ...are analytic in U, we say that f is subordinate to g, written f ≺ g or f (z) ≺ g(z), if there exists a Schwarz function ω, analytic ... 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

... Also, 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 [, ]), and ... See full document

... of certain subclasses of analytic functions, in: ...in Analytic Function Theory, pp, 266 273, World Scientific publishing Company, Singapore, New Jersey, London and Hong Kong, ... 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