scholarly journals Some applications of fractional calculus operators to a new class of analytic functions with negative coefficients

2000 ◽  
pp. 001-005
Author(s):  
E KADIOĞLU
Keyword(s):  
Fractional Calculus ◽  
Analytic Functions ◽  
New Class ◽  
Fractional Calculus Operators

Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

2010 ◽  
Vol 60 (1) ◽  
Author(s):  
Waggas Atshan
Keyword(s):  
Fractional Calculus ◽  
Unit Disc ◽  
Univalent Functions ◽  
Distortion Theorem ◽  
New Class ◽  
Fractional Calculus Operators ◽  
Coefficient Inequalities ◽  
Analytic And Univalent Functions

AbstractIn this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

scholarly journals A New Class of Analytic Functions Defined by Using Salagean Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
R. M. El-Ashwah ◽  
M. K. Aouf ◽  
A. A. M. Hassan ◽  
A. H. Hassan
Keyword(s):  
Analytic Functions ◽  
Extreme Points ◽  
Distortion Theorem ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Integral Means ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Fractional Calculus Operators

We derive some results for a new class of analytic functions defined by using Salagean operator. We give some properties of functions in this class and obtain numerous sharp results including for example, coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, integral means inequalities, and partial sums of functions belonging to this class. Finally, we give an application involving certain fractional calculus operators that are also considered.

On a New Class of Analytic Functions Related to Fractional Calculus

2020 ◽  
Author(s):  
Şahsene Altınkaya ◽  
Shigeyoshi Owa ◽  
Sibel Yalçın
Keyword(s):  
Fractional Calculus ◽  
Analytic Functions ◽  
New Class

scholarly journals On a Class of Meromorphic Multiivalent Functiions Convoluted withi Higher Derivatiives of Fractionali Calculus Operator

2019 ◽  
pp. 2237-2245
Author(s):  
Kassim Abdul Hameed Jassim ◽  
Sattar Kamil Hussein
Keyword(s):  
Fractional Calculus ◽  
New Class ◽  
Closure Theorems ◽  
Fractional Calculus Operators

The main goal of this paper is to study and discuss a new class of meromorphici "functions[ which are multivalent defined by [fractional  calculus operators. Coefficients iestimates , radiisi of satarlikeness , convexityi and closed-to-iconvexity are studied. Also distortion iand closure theorems for the classi" ,  are considered.

scholarly journals ON A CLASS OF FRACTIONAL HARDY-TYPE INEQUALITIES

Fractals ◽  
2021 ◽  
pp. 2240011
Author(s):  
SHANHE WU ◽  
MUHAMMAD SAMRAIZ ◽  
SAJID IQBAL ◽  
GAUHAR RAHMAN
Keyword(s):  
Fractional Calculus ◽  
Fractional Derivative ◽  
Fractional Operators ◽  
Hilfer Fractional Derivative ◽  
Derivative Operator ◽  
Hardy Type Inequalities ◽  
New Class ◽  
Hardy Type ◽  
Fractional Calculus Operators

In this paper, we study a new class of Hardy-type inequalities involving fractional calculus operators. We derive the Hardy-type inequalities for the variant of Riemann–Liouville fractional calculus operators and [Formula: see text]-Hilfer fractional derivative operator. The obtained inequalities involving fractional operators are more general as compared to some existing results in the literature.

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