On a subset of Bazilevič functions

D. K. Thomas

On a subset of Bazilevič functions

Marjono
, D. K. Thomas

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

Abstract

Let S denote the class of analytic and univalent functions in D := z ∈ C: |z| < 1 of the form f(z) = z +∑^∞_n=2 anzn. For α ≥ 0, the subclass B₁(α) of S of Bazilevič functions has been extensively studied. In this paper we determine various properties of a subclass of B₁(α), for α ≥ 0, which extends early results of a class of starlike functions studied by Ram Singh.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	16
Issue number	2
Publication status	Published - 2019
Externally published	Yes

Keywords

Bazilevič functions
Coefficients
Starlike functions
Univalent functions

Cite this

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abstract = "Let S denote the class of analytic and univalent functions in D := z ∈ C: |z| < 1 of the form f(z) = z +∑∞n=2 anzn. For α ≥ 0, the subclass B1(α) of S of Bazilevi{\v c} functions has been extensively studied. In this paper we determine various properties of a subclass of B1(α), for α ≥ 0, which extends early results of a class of starlike functions studied by Ram Singh.",

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AB - Let S denote the class of analytic and univalent functions in D := z ∈ C: |z| < 1 of the form f(z) = z +∑∞n=2 anzn. For α ≥ 0, the subclass B1(α) of S of Bazilevič functions has been extensively studied. In this paper we determine various properties of a subclass of B1(α), for α ≥ 0, which extends early results of a class of starlike functions studied by Ram Singh.

KW - Bazilevič functions

KW - Coefficients

KW - Starlike functions

KW - Univalent functions

UR - https://www.scopus.com/pages/publications/85075045771

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SN - 1449-5910

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EP - 10

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

IS - 2

ER -

On a subset of Bazilevič functions

Abstract

Keywords

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Cite this