On a family of p-valently analytic functions missing initial Taylor coefficients
Filomat, Tome 37 (2023) no. 1, p. 85

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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.
DOI : 10.2298/FIL2301085W
Classification : 30C45, 30C55, 30C80
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
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     year = {2023},
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     doi = {10.2298/FIL2301085W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301085W/}
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