On a family of p-valently analytic functions missing initial Taylor coefficients
Filomat, Tome 37 (2023) no. 1, p. 85
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
For k ≥ 0, 0 ≤ γ ≤ 1, and some convolution operator , the object of this paper is to introduce a generalized family T U n p (, γ, k, b, α) of p-valently analytic functions of complex order b ∈ C {0} and type α ∈ [0, p). Apart from studying certain coefficient, radii and subordination problems, we prove that T U n p (, γ, k, b, α) is convex and derive its extreme points. Moreover, the closedness of this family under the modified Hadamard product is discussed. Several previously established results are obtained as particular cases of our theorems.
Classification :
30C45, 30C55, 30C80
Keywords: p-valently analytic functions, Hadamard product, Subordination, Subordinating factor sequence
Keywords: p-valently analytic functions, Hadamard product, Subordination, Subordinating factor sequence
Lateef Ahmad Wani. On a family of p-valently analytic functions missing initial Taylor coefficients. Filomat, Tome 37 (2023) no. 1, p. 85 . doi: 10.2298/FIL2301085W
@article{10_2298_FIL2301085W,
author = {Lateef Ahmad Wani},
title = {On a family of p-valently analytic functions missing initial {Taylor} coefficients},
journal = {Filomat},
pages = {85 },
year = {2023},
volume = {37},
number = {1},
doi = {10.2298/FIL2301085W},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301085W/}
}
Cité par Sources :