On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator
Filomat, Tome 35 (2021) no. 4, p. 1305
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In the present investigation, with motivation from the pioneering work of Srivastava et al. [28], which in recent years actually revived the study of analytic and bi-univalent functions, we introduce the subclasses T * Σ (n, β) and T Σ (n, α) of analytic and bi-univalent function class Σ defined in the open unit disk U = {z ∈ C : |z| 1} and involving the Sălăgean derivative operator D n. Moreover, we derive estimates on the initial coefficients |a 2 | and |a 3 | for functions in these subclasses and pointed out connections with some earlier known results
Classification :
30C45, 30C50
Keywords: analytic function, univalent function, bi-univalent function, coefficient estimate, Sălăgean differential operator
Keywords: analytic function, univalent function, bi-univalent function, coefficient estimate, Sălăgean differential operator
Amol B Patil; Uday H Naik. On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator. Filomat, Tome 35 (2021) no. 4, p. 1305 . doi: 10.2298/FIL2104305P
@article{10_2298_FIL2104305P,
author = {Amol B Patil and Uday H Naik},
title = {On coefficient inequalities of certain subclasses of bi-univalent functions involving the {S\u{a}l\u{a}gean} operator},
journal = {Filomat},
pages = {1305 },
year = {2021},
volume = {35},
number = {4},
doi = {10.2298/FIL2104305P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104305P/}
}
TY - JOUR AU - Amol B Patil AU - Uday H Naik TI - On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator JO - Filomat PY - 2021 SP - 1305 VL - 35 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2104305P/ DO - 10.2298/FIL2104305P LA - en ID - 10_2298_FIL2104305P ER -
%0 Journal Article %A Amol B Patil %A Uday H Naik %T On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator %J Filomat %D 2021 %P 1305 %V 35 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2104305P/ %R 10.2298/FIL2104305P %G en %F 10_2298_FIL2104305P
Cité par Sources :