[PDF] Top 20 1. A Subordination Theorem with Applications to Analytic Functions
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1. A Subordination Theorem with Applications to Analytic Functions
... It is well-known that every close-to-convex function is univalent. In 1934/35, Noshiro [3] and Warchawski [4] obtained a simple but interesting criterion for close- to-convexity of analytic functions. They ... See full document
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1. Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure
... of analytic functions, we investigate various useful properties and characteristics of a general class of multivalently analytic functions using the techniques of differen- tial ... See full document
14
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions
... [12] S.S.Kumar, H.C.Taneja and V.Ravichandran, Classes of multivalent functions defined by Dzoik-Srivastava linear operator and multiplier transformations, Kyungpook Math. Math., 34(3)(2[r] ... See full document
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Stability of Admissible Functions
... an analytic function to be Bloch and a harmonic or meromorphic function to be normal,” in Complex Analysis and Its Applications (Hong Kong, 1993), ...“Analytic functions of bounded mean ... See full document
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Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
... sigmoid functions and its applications in the coefficient problems, studied recently by function theorists (see [3, 10, 12, 13, 14, ...Special functions deal with an information process that is ... See full document
14
Sandwich Type of Results for ϕ -like Functions using Subordination
... an analytic function in a domain containing f(E), with (0) 0, and ( ) w 0 for w ...fixed analytic function in E, with q (0) 1 . A normalized analytic function f A is said to be ... See full document
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ON THE CHEBYSHEV POLYNOMIAL COEFFICIENT PROBLEM OF BI-BAZILEVI C FUNCTIONS
... c functions (see, for details, [10]; see also [16], [20], [28]) of type β from various viewpoints such as the perspective of convexity, inclusion theorems, radii of starlikeness and convexity, boundary rotational ... See full document
8
A fixed point theorem for analytic functions
... as one can readily check by using relations (2.6) and (2.7) (see also Figure 2.1 which illustrates the equality above). The fact that such holomorphic self-maps exist can be checked by using Pick’s interpolation ... See full document
5
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 ... See full document
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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] ... See full document
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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 ...< 1 denote the subclasses of A consisting of functions that are univalent, starlike of order α, and convex ... See full document
15
Strong differential subordination and superordination of analytic functions associated with Komatu operator
... φ(p(z), zp 0 (z), z 2 p 00 (z); z, ζ) ≺≺ h(z) (z ∈ U ; ζ ∈ U ), (1.7) then p(z) is called a solution of the strong differential subordination. The univalent function q(z) is called a dominant of the solutions of ... See full document
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Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator
... some subordination results 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
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Retraction Notice to "Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Associated with Dziok-Srivastava Operator"
... two functions f and g analytic in U , we say that the function f is subordinate to g, written f ≺ g or f (z) ≺ g(z)(z ∈ U), if there exists a Schwarz function w analytic in U with w(0) = 0 and |w(z)| ... See full document
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5. Subordination and Superordination for Certain Analytic Functions
... be analytic functions in the open unit disk D = {z : z ∈ C , |z| < ...two functions F and G, which are analytic in D , the function F is said to be subordinate to G in D if there exists a ... See full document
8
On differential subordinations for a class of analytic functions defined by a linear operator
... = 1 which are defined in the unit disk ∆ : = { z ∈ C : | z | < 1 } ...all analytic functions p(z) with p(0) = 1 which are defined on ∆ ...Carathéodory functions consists of ... See full document
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Subordination and Superordination Results for a Class of Analytic Multivalent Functions
... An analytic function q is called subordinant if q ≺ h forall h satisfying ...Mocanu 1 have obtained conditions on k, q, and φ for which the following implication ... See full document
12
p subordination chains and p valence criteria
... For analytic functions f (z) and g(z) in U , f is said to be subordinate to g , denoted by f (z) ≺ g(z), if there exists an analytic function w satisfying w() = , |w(z)| < , such that f (z) = ... See full document
7
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] ... See full document
8
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] ... See full document
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