A Class of Harmonic Functions Associated With a Generalized Differential Operator}
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 145
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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.
Classification :
30C45 30C50
Keywords: harmonic mapping, convolution, Bernardi operator, coefficient conditions
Keywords: harmonic mapping, convolution, Bernardi operator, coefficient conditions
Sarika Verma; Deepali Khurana; Raj Kumar. A Class of Harmonic Functions Associated With a Generalized Differential Operator}. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 145 . doi: 10.2298/PIM2022145V
@article{10_2298_PIM2022145V,
author = {Sarika Verma and Deepali Khurana and Raj Kumar},
title = {A {Class} of {Harmonic} {Functions} {Associated} {With} a {Generalized} {Differential} {Operator}}},
journal = {Publications de l'Institut Math\'ematique},
pages = {145 },
year = {2020},
volume = {_N_S_108},
number = {122},
doi = {10.2298/PIM2022145V},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022145V/}
}
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