[PDF] Top 20 Generalized classes of starlike and convex functions of order α
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Generalized classes of starlike and convex functions of order α
... Subordination, fractional derivative, fractional integral, generalized Libera operator.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ... See full document
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Criteria for starlike and convex functions of order α
... Correspondence: [email protected] Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China Full list of author information is available at the end of th[r] ... See full document
9
On the multivalency of certain analytic functions
... strongly convex functions of order α, ...strongly starlike and strongly convex functions of order α was introduced in [] and [] with their geometric ...For ... See full document
9
Convolution Properties of Classes of Analytic and Meromorphic Functions
... ≤ α < 1, S ∗ h and Kh are, respectively, the familiar classes S ∗ α of starlike functions of order α and Kα consisting of convex functions of order ... See full document
14
NEW SUFFICIENT CONDITIONS FOR STARLIKE AND CONVEX FUNCTIONS
... Abstract. Let A be the class of analytic functions f(z) in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed. Keywords: Analytic function, ... See full document
6
Starlike Functions of order $\alpha$ With Respect To $2(j,k)$-Symmetric Conjugate Points
... of functions which are, respectively, univalent, starlike, α- starlike, convex, α-convex and close-to-convex functions of order α in U (See, ... See full document
8
Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
... The interesting geometric properties of these function classes were extensively studied by Kanas et al., in 11–14. Motivated by Altintas et al. 15, Murugusundaramoorthy and Srivastava 16, and Murugusundaramoorthy ... See full document
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A class of analytic functions based on an extension of generalized Salagean operator
... of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated functions ... See full document
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Classes of convex functions
... Remark 4.3. The coefficient characterizations found in [9] also show that f of the form (4.1) is starlike f ∈ TUCD(0), is convex f ∈ TUCD(1), and is convex of order 1/2 f ∈ TUCD(2). A function f ... See full document
7
Fractional differintegral transformations of univalent Meijer's G functions
... a generalized (multiple, m-tuple) Erdélyi-Kober (E-K) operator of the integra- tion of fractional multi-order and the corresponding multiple (m-tuple) fractional deri- vatives of multi-order, are ... See full document
10
HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... 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 ... See full document
6
Remarks on some starlike functions
... If α ∈ [; ), then a function in either of these sets is ...of functions con- vex of negative order –/ was proved by Ozaki ...find α, β such ... See full document
8
On sandwich results for some subclasses of analytic functions involving certain linear operator
... Abstract : - The purpose of this paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by Carlson–Shaffer operator. Relevant ... See full document
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5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator
... interesting classes of 𝑘-uniformly close-to-convex functions and 𝑘-uniformly quasi-convex functions are defined here by using the Dziok- Srivastava ...for functions belonging to ... See full document
15
Birth of Theory of Harmonic Functions
... the classes UST and UCV, introduced a new class S p of starlike ...univalent functions was motivated by Silverman [37], when he introduced the class T of functions in S, with negative ...of ... See full document
5
Neighborhoods of Starlike and Convex Functions Associated with Parabola
... analytic functions f z defined on the open unit disk Δ : {z : |z| < 1} and normalized by f0 0 and f 0 1, and let S be the subclass of A consisting of univalent ...of starlike and convex ... See full document
9
The Fekete Szegö Problem for Valently Janowski Starlike and Convex Functions
... For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap2 − μa2p1 | relat[r] ... See full document
12
On the characterization of D preinvex functions
... In this paper, we firstly obtain a property of D-preinvex functions. We then get a suf- ficient condition of the strictly D-preinvex functions in terms of intermediate-point D- preinvex functions. We ... See full document
9
On the improvement of Mocanu’s conditions
... which was introduced in [] and []. We say that f ∈ A is in the class SC ∗ (β ) of strongly convex functions of order β when zf (z) ∈ SS ∗ (β ). We say that f ∈ H is subordinate to g ∈ H in the unit ... See full document
10
On convex functions of order α and type β
... Subordination, Hadamard product, convex functions of order and type 8.. 1980 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document
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