scholarly journals Growth and distortion theorems for slice monogenic functions

2017 ◽  
Vol 290 (1) ◽  
pp. 169-198 ◽  
Author(s):  
Guangbin Ren ◽  
Xieping Wang
Keyword(s):  
Monogenic Functions ◽  
Slice Monogenic Functions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

scholarly journals Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1035
Author(s):  
Cai-Mei Yan ◽  
Rekha Srivastava ◽  
Jin-Lin Liu
Keyword(s):  
Difference Operator ◽  
Necessary Conditions ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Radius Of Starlikeness ◽  
Closure Theorems ◽  
Sufficient And Necessary Conditions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

scholarly journals Distributions and the Global Operator of Slice Monogenic Functions

2013 ◽  
Vol 8 (6) ◽  
pp. 1257-1268 ◽  
Author(s):  
Fabrizio Colombo ◽  
Franciscus Sommen
Keyword(s):  
Monogenic Functions ◽  
Global Operator ◽  
Slice Monogenic Functions

scholarly journals A Class of p-valent Functions in the Punctured Disc

2019 ◽  
pp. 473-481
Author(s):  
Olubunmi A. Fadipe-Joseph ◽  
K. O. Dada
Keyword(s):  
Differential Operator ◽  
Coefficient Estimates ◽  
Alpha Beta ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

Motivated by Aouf differential operator, a class $F_{\lambda, p}^{n}\left ( \alpha , \beta , \gamma \right )$ of p-valent functions in the punctured disc $U^{*}=\left \{ z:0<\left | z \right |<1 \right \}=U\setminus \left \{ 0 \right \} $ is defined. The coefficient estimates, growth and distortion theorems for the class are obtained.

scholarly journals A nonconstant coefficients differential operator associated to slice monogenic functions

2012 ◽  
Vol 365 (1) ◽  
pp. 303-318 ◽  
Author(s):  
Fabrizio Colombo ◽  
J. Oscar González-Cervantes ◽  
Irene Sabadini
Keyword(s):  
Differential Operator ◽  
Monogenic Functions ◽  
Slice Monogenic Functions

scholarly journals On Some new Results of a Subclass of Meromorphic Univalent Functions with Negative Coefficients Defined by liu – Srivastava Linear Operator

2018 ◽  
Vol 7 (4.36) ◽  
pp. 806
Author(s):  
Amal Mohammed Darweesh
Keyword(s):  
Linear Operator ◽  
Univalent Functions ◽  
Partial Sums ◽  
Closure Theorems ◽  
Distortion Theorems ◽  
Convolution Properties ◽  
Growth And Distortion Theorems ◽  
Meromorphic Univalent Functions

In this paper, we introduce and study a new subclass of meromorphic univalent functions with negative coefficients defined by Liu – Srivastava linear operator in the  We obtain some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, partial sums and convolution properties.  

scholarly journals Classes of Meromorphic Functions Defined by the Hadamard Product

2010 ◽  
Vol 2010 ◽  
pp. 1-11
Author(s):  
J. Dziok
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product ◽  
Partial Sums ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.

The Bergman-Sce transform for slice monogenic functions

2011 ◽  
Vol 34 (15) ◽  
pp. 1896-1909 ◽  
Author(s):  
Fabrizio Colombo ◽  
Jose O. Gonzàles Cervantes ◽  
Irene Sabadini
Keyword(s):  
Monogenic Functions ◽  
Slice Monogenic Functions

scholarly journals The Radon transform between monogenic and generalized slice monogenic functions

2015 ◽  
Vol 363 (3-4) ◽  
pp. 733-752 ◽  
Author(s):  
F. Colombo ◽  
R. Lávička ◽  
I. Sabadini ◽  
V. Souček
Keyword(s):  
Radon Transform ◽  
Monogenic Functions ◽  
Slice Monogenic Functions

scholarly journals Applications of fractional calculus to $ k $-uniformly starlike and $ k $-uniformly convex functions of order $ \alpha $

2007 ◽  
Vol 38 (2) ◽  
pp. 103-109 ◽  
Author(s):  
Ajab Akbarally ◽  
Maslina Darus
Keyword(s):  
Fractional Calculus ◽  
Convex Functions ◽  
Analytic Functions ◽  
Uniformly Convex ◽  
Coefficient Bounds ◽  
Uniformly Convex Functions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems ◽  
Uniformly Starlike

A new subclass of analytic functions $ k-SP_\lambda(\alpha) $ is introduced by applying certain operators of fractional calculus to $k$-uniformly starlike and $ k $-uniformly convex functions of order $ \alpha $. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.

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