A note on the powers of bazilevič functions

D. K. Thomas

doi:10.12988/ijma.2015.56169

A note on the powers of bazilevič functions

Marjono
, D. K. Thomas

Faculty of Mathematics and Natural Sciences

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

5 Citations (Scopus)

Abstract

For α ≥ 0, let B1(α) be the set of Bazilevič functions f, analytic in z ∈ D = {z: |z|<1}, given by, and satisfying Re. For λ ≥ 0, let. We consider the problem of determining whether, where b_n(λ) are the coefficients of the extreme functions of, for f ∈ B₁(α).

Original language	English
Pages (from-to)	2061-2067
Number of pages	7
Journal	International Journal of Mathematical Analysis
Volume	9
Issue number	41-44
DOIs	https://doi.org/10.12988/ijma.2015.56169
Publication status	Published - 2015

Keywords

Bazilevič functions
Coefficients
Fekete-Szegö
Powers
Starlike functions
Univalent functions

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10.12988/ijma.2015.56169

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title = "A note on the powers of bazilevi{\v c} functions",

abstract = "For α ≥ 0, let B1(α) be the set of Bazilevi{\v c} functions f, analytic in z ∈ D = \{z: |z|<1\}, given by, and satisfying Re. For λ ≥ 0, let. We consider the problem of determining whether, where bn(λ) are the coefficients of the extreme functions of, for f ∈ B1(α).",

keywords = "Bazilevi{\v c} functions, Coefficients, Fekete-Szeg{\"o}, Powers, Starlike functions, Univalent functions",

author = "Marjono and Thomas, \{D. K.\}",

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language = "English",

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pages = "2061--2067",

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AU - Marjono,

AU - Thomas, D. K.

PY - 2015

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N2 - For α ≥ 0, let B1(α) be the set of Bazilevič functions f, analytic in z ∈ D = {z: |z|<1}, given by, and satisfying Re. For λ ≥ 0, let. We consider the problem of determining whether, where bn(λ) are the coefficients of the extreme functions of, for f ∈ B1(α).

AB - For α ≥ 0, let B1(α) be the set of Bazilevič functions f, analytic in z ∈ D = {z: |z|<1}, given by, and satisfying Re. For λ ≥ 0, let. We consider the problem of determining whether, where bn(λ) are the coefficients of the extreme functions of, for f ∈ B1(α).

KW - Bazilevič functions

KW - Coefficients

KW - Fekete-Szegö

KW - Powers

KW - Starlike functions

KW - Univalent functions

UR - https://www.scopus.com/pages/publications/84942234963

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DO - 10.12988/ijma.2015.56169

M3 - Article

AN - SCOPUS:84942234963

SN - 1312-8876

VL - 9

SP - 2061

EP - 2067

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 41-44

ER -

A note on the powers of bazilevič functions

Abstract

Keywords

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