A class of harmonic functions associated with a generalized differential operator | Zendy

Sarika Verma | Zendy; Deepali Khurana | Zendy; Raj Kumar | Zendy

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A 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 mathematique

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.

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