Analytic Functions and Subordination
On a Subordination Result of a Subclass of Analytic Functions
... On a Subordination Result of a Subclass of Analytic Functions Risikat Ayodeji Bello Department of Mathematics and Statistics, College of Pure and Applied Science, Kwara State University,[r] ...
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1. A Subordination Theorem with Applications to Analytic Functions
... two analytic functions f and g in the unit disk E , we say that a function f is subordinate to a function g in E and write f ≺ g if there exists a Schwarz function w analytic in E with w(0) = 0 and | ...
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Differential Subordination and Superordination of Analytic Functions Defined by an Integral Operator
... Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral ...
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25. On Subordination Results for Certain New Classes of Analytic Functions Defined by Using Salagean Operator
... In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.. (1.2).[r] ...
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Strong differential subordination and superordination of analytic functions associated with Komatu operator
... differential subordination and superordination properties are determined for some families analytic functions in the open unit disk which are associated with the Komatu operator by investi- gating ...
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Subordination Properties for Certain Analytic Functions
... Attiya, “Some subordination results associated with certain subclasses of analytic functions,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Seenivasagan, “Subordination[r] ...
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On Certain Subclasses of Analytic Functions Defined by Differential Subordination
... Research Article On Certain Subclasses of Analytic Functions Defined by Differential Subordination Hesam Mahzoon Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Fi[r] ...
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Some results for strong differential subordination of analytic functions defined by differential operator
... Definition 1.1 (Oros and Gh Oros, [9]) Let 𝑓(𝑧, 𝜁), 𝑔(𝑧, 𝜁) analytic in 𝑈 × 𝑈̅. The function 𝑓(𝑧, 𝜁) is said to be strongly subordinate to 𝑔(𝑧, 𝜁), written 𝑓(𝑧, 𝜁) ≺≺ 𝐹(𝑧, 𝜁), 𝑧 ∈ 𝑈, 𝜁 ∈ 𝑈̅, if there exists an ...
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Strong differential subordination properties for analytic functions involving the Komatu integral operator
... Let f (z) and F(z) be members of H. 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 w(z) analytic in U , with w() = and |w(z)| < ...
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Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
... It is observed that when ψ(z) = 1, then f (z) = g(ω(z)), so that f (z) ≺ g(z) in U . Also notice that if ω(z) = z, then f(z) = ψ(z)g(z) and it is said that f is majorized by g and written f (z) g(z) in U . It is seen ...
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Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions
... are analytic in the open unit disc U {z ∈ C : |z| < 1} on the complex plane ...of functions that are univalent, starlike of order α, and convex of order α in U, ...convex functions in U, ...f ...
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5. Subordination and Superordination for Certain Analytic Functions
... on subordination and super- ordination given by some ...differential subordination, we prove several subordination results related to the class ...
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8.Subordination Results for Certain Classes of Analytic Functions Defined by Convolution with Complex Order
... 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 ∈ ...
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Stability of Admissible Functions
... weak subordination, we examine the stability a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination for a class of admissible ...
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Sandwich Type of Results for ϕ -like Functions using Subordination
... convex functions. Let f and g be analytic functions in the open unit disc ...w analytic in E with w (0) 0 and w z ( ) 1 for all z E such that f z ( ) g w z ( ( )) , z E, then f is ...
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Subordination by convex functions
... Attiya, Some subordination results associated with certain subclasses of analytic functions, Journal of Inequalities in Pure and Applied Mathematics 5 2004, no.. Wilf, Subordinating fact[r] ...
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On starlikeness and close to convexity of certain analytic functions
... Let H(p(z), zp (z)) ≺ h(z) be a first-order differential subordination. Then a univa- lent function q(z) is called its dominant if p(z) ≺ q(z) for all analytic functions p(z) that satisfy the ...
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Subordination Results on Subclasses Concerning Sakaguchi Functions
... Attiya, “Some subordination results associated with certain subclasses of analytic functions,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Özkan, “Some subordination [r] ...
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On new subclasses of analytic functions involving generalized differential and integral operators
... Darus, Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions, International Journal of Mathematics and Mathematical Sciences, Article ID 369078[r] ...
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p subordination chains and p valence criteria
... complex functions is an important property, but, unfortunately, it is difficult and in many cases impossible to show directly that a certain complex func- tion, especially a function belonging to the class A, is ...
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