Open AccessOn A Certain Class of Meromorphic Multivalent Functions Defined by Fractional Calculus Operator
Author(s) -
Adnan Aziz Hussein,
Kassim A. Jassim
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.12.18
Subject(s) - mathematics , fractional calculus , meromorphic function , convolution (computer science) , convexity , operator (biology) , class (philosophy) , distortion (music) , representation (politics) , extreme point , pure mathematics , mathematical analysis , combinatorics , computer science , repressor , artificial intelligence , law , amplifier , computer network , chemistry , bandwidth (computing) , financial economics , biochemistry , machine learning , artificial neural network , transcription factor , political science , politics , economics , gene
In this work, we study a new class of meromorphicmultivalent functions, defined by fractional differ-integral operator.We obtain some geometricproperties, such ascoefficient inequality, growth and distortion bounds, convolution properties, integral representation, radii of starlikeness, convexity, extreme pointsproperties, weighted mean and arithmetic meanproperties.