ON A CERTAIN CLASS OF p-VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR

Abstract Making use of Ruscheweyh q-differential operator, we define a new subclass of uniformly convex functions and corresponding subclass of starlike functions with negative coefficients. The main object of this paper is to obtain, coefficient estimates, closure theorems and extreme point for the functions belonging to this new class. The results are generalized to families with fixed finitely many coefficients.

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Topological Properties for Harmonic τ-Uniformly Convex Functions of Order ρ Associated with Wanas Differential Operator

Earthline Journal of Mathematical Sciences ◽

10.34198/ejms.4220.333346 ◽

2020 ◽

pp. 333-346

Author(s):

Abbas Kareem Wanas

Keyword(s):

Differential Operator ◽

Unit Disk ◽

Convex Functions ◽

Open Unit ◽

Open Unit Disk ◽

Uniformly Convex ◽

Topological Properties ◽

Uniformly Convex Functions

The purpose of the present paper is to establish some topological properties for a certain family of harmonic τ-uniformly convex functions of order ρ associated with Wanas differential operator defined in the open unit disk U.

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Coefficient Estimates and Some Properties for Class of Uniformly Convex Functions

Journal of Physics Conference Series ◽

10.1088/1742-6596/1818/1/012015 ◽

2021 ◽

Vol 1818 (1) ◽

pp. 012015

Author(s):

Emad Kadhim Mouajeeb

Keyword(s):

Convex Functions ◽

Uniformly Convex ◽

Coefficient Estimates ◽

Uniformly Convex Functions

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ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.28.1997.4330 ◽

1997 ◽

Vol 28 (1) ◽

pp. 17-32

Author(s):

R. BHARATI ◽

R. PARVATHAM ◽

A. SWAMINATHAN

Keyword(s):

Convex Functions ◽

Starlike Functions ◽

Sufficient Condition ◽

Uniformly Convex ◽

Uniformly Convex Functions

We determine a sufficient condition for a function $f(z)$ to be uniformly convex of order et that is also necessary when $f(z)$ has negative coefficients. This enables us to express these classes of functions in terms of convex functions of particular order. Similar results for corresponding classes of starlike functions are also obtained. The convolution condition for the above two classes are discussed.

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Some properties of a subclass of uniformly convex functions with negative coefficients

Demonstratio Mathematica ◽

10.1515/dema-2013-0067 ◽

2008 ◽

Vol 41 (2) ◽

Author(s):

M. K. Aouf ◽

A. O. Mostafa

Keyword(s):

Convex Functions ◽

Extreme Points ◽

Distortion Theorem ◽

Uniformly Convex ◽

Coefficient Estimates ◽

Uniformly Convex Functions

AbstractThe aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close - to - convexity, starlikeness and convexity for functions belonging to the subclass

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Subclass of uniformly convex functions defined by linear operator

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/263/4/042157 ◽

2017 ◽

Vol 263 ◽

pp. 042157

Author(s):

A Narasimha Murthy ◽

H Niranjan ◽

P Thirupathi Reddy

Keyword(s):

Linear Operator ◽

Convex Functions ◽

Uniformly Convex ◽

Uniformly Convex Functions

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Pre-Schwarzian norm for linear operators of uniformly convex functions of order α and type β

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/012.2019.56.3.1429 ◽

2019 ◽

Vol 56 (3) ◽

pp. 297-308

Author(s):

Jacek Dziok ◽

Hanaa M. Zayed

Keyword(s):

Convex Functions ◽

Schwarzian Derivative ◽

Linear Operators ◽

New Method ◽

Uniformly Convex ◽

Uniformly Convex Functions ◽

Norm Estimates

Abstract By making use of the pre-Schwarzian norm given by we obtain such norm estimates for Hohlov operator of functions belonging to the class of uniformly convex functions of order α and type β. We also employ an entirely new method to generalize and extend the results of Theorems 1, 2 and 3 in [3]. Finally, some inequalities concerning the norm of the pre-Schwarzian derivative for Dziok-Srivastava operator are also considered.

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