A subordination theorem for analytic functions

marjono@ub ac id Marjono

A subordination theorem for analytic functions

marjono@ub ac id Marjono

Faculty of Mathematics and Natural Sciences

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

4 Citations (Scopus)

Abstract

It is shown that iff is analytic in D = (z: πzπ < 1), with f(0) = f'(0) - 1 = 0, then for implies, where, and that B(γ) is the largest number such that this implication holds.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	14
Issue number	1
Publication status	Published - 2017

Keywords

Analytic function
Bazilevič function
Subordination
Univalent function

Cite this

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title = "A subordination theorem for analytic functions",

abstract = "It is shown that iff is analytic in D = (z: πzπ < 1), with f(0) = f'(0) - 1 = 0, then for implies, where, and that B(γ) is the largest number such that this implication holds.",

keywords = "Analytic function, Bazilevi{\v c} function, Subordination, Univalent function",

author = "Marjono, \{marjono@ub ac id\}",

note = "Publisher Copyright: {\textcopyright} 2017 Austral Internet Publishing.",

year = "2017",

language = "English",

volume = "14",

pages = "1--5",

journal = "Australian Journal of Mathematical Analysis and Applications",

issn = "1449-5910",

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T1 - A subordination theorem for analytic functions

AU - Marjono, marjono@ub ac id

PY - 2017

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N2 - It is shown that iff is analytic in D = (z: πzπ < 1), with f(0) = f'(0) - 1 = 0, then for implies, where, and that B(γ) is the largest number such that this implication holds.

AB - It is shown that iff is analytic in D = (z: πzπ < 1), with f(0) = f'(0) - 1 = 0, then for implies, where, and that B(γ) is the largest number such that this implication holds.

KW - Analytic function

KW - Bazilevič function

KW - Subordination

KW - Univalent function

UR - https://www.scopus.com/pages/publications/85021919868

M3 - Article

AN - SCOPUS:85021919868

SN - 1449-5910

VL - 14

SP - 1

EP - 5

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

IS - 1

ER -

A subordination theorem for analytic functions

Abstract

Keywords

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