Gamma-Bazilevic functions

Sa'adatul Fitri; Derek K. Thomas

doi:10.3390/math8020175

Gamma-Bazilevic functions

Sa'adatul Fitri
, Derek K. Thomas^*

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

For γ ≥ 0 and α ≥ 0, we introduce the class (α) of Gamma-Bazilevic functions defined for z ∈ D by Re. We shown that (α) is a subset of B₁(α), the class of B₁(α) Bazilevic functions, and is therefore univalent in D. Various coefficient problems for functions in (α) are also given.

Original language	English
Article number	175
Journal	Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3390/math8020175
Publication status	Published - 1 Feb 2020

Keywords

Bazilevĭc functions
Coefficients
Univalent

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10.3390/math8020175

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title = "Gamma-Bazilevic functions",

abstract = "For γ ≥ 0 and α ≥ 0, we introduce the class (α) of Gamma-Bazilevic functions defined for z ∈ D by Re. We shown that (α) is a subset of B1(α), the class of B1(α) Bazilevic functions, and is therefore univalent in D. Various coefficient problems for functions in (α) are also given.",

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AB - For γ ≥ 0 and α ≥ 0, we introduce the class (α) of Gamma-Bazilevic functions defined for z ∈ D by Re. We shown that (α) is a subset of B1(α), the class of B1(α) Bazilevic functions, and is therefore univalent in D. Various coefficient problems for functions in (α) are also given.

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KW - Coefficients

KW - Univalent

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ER -

Gamma-Bazilevic functions

Abstract

Keywords

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