Open AccessA class of harmonic functions associated with a generalized differential operator
Author(s) -
Sarika Verma,
Deepali Khurana,
Raj Kumar
Publication year - 2020
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim2022145v
Subject(s) - differential operator , mathematics , extreme point , harmonic function , class (philosophy) , invariant (physics) , harmonic , differential inclusion , mathematical analysis , operator (biology) , differential (mechanical device) , pure mathematics , harmonic analysis , physics , mathematical physics , computer science , combinatorics , biochemistry , chemistry , repressor , quantum mechanics , artificial intelligence , transcription factor , gene , thermodynamics
We introduce a new class of harmonic univalent functions by using a generalized differential operator and investigate some of its geometric properties, like, coefficient estimates, extreme points and inclusion relations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.