Open AccessCharacteristics of a Subclass of Analytic Functions Introduced by Using a Fractional Integral Operator
Author(s) -
Alina Alb Lupaş
Publication year - 2022
Publication title -
journal of advances in applied and computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2409-5761
DOI - 10.15377/2409-5761.2021.08.5
Subject(s) - convexity , subclass , extreme point , mathematics , distortion (music) , analytic function , class (philosophy) , operator (biology) , differential operator , integral transform , fractional calculus , differential (mechanical device) , mathematical analysis , unit disk , pure mathematics , combinatorics , computer science , physics , repressor , artificial intelligence , amplifier , chemistry , financial economics , antibody , biology , biochemistry , transcription factor , immunology , thermodynamics , economics , gene , computer network , bandwidth (computing)
We define a new class of analytic functions Dm,n (λ,δ,µ,α,β) on the open unit disc using the fractional integral associated with a linear differential operator and investigate characteristics of this class: extreme points, distortion bounds, radii of close-to-convexity, starlikeness and convexity.