Notes on starlike log-harmonic functions of order α

Melike Aydoǧan; Emel Yavuz Duman; Shigeyoshi Owa

Notes on starlike log-harmonic functions of order α

Melike Aydoǧan^*, Emel Yavuz Duman, Shigeyoshi Owa

^*Corresponding author for this work

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

Abstract

For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*_LH(α) and G*_LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.

Original language	English
Pages (from-to)	19-29
Number of pages	11
Journal	International Journal of Mathematical Analysis
Volume	7
Issue number	1-4
Publication status	Published - 2013
Externally published	Yes

Keywords

Analytic
Coefficient inequality
Log-harmonic
Starlike

Cite this

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title = "Notes on starlike log-harmonic functions of order α",

abstract = "For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.",

keywords = "Analytic, Coefficient inequality, Log-harmonic, Starlike",

author = "Melike Aydoǧan and Duman, \{Emel Yavuz\} and Shigeyoshi Owa",

year = "2013",

language = "English",

volume = "7",

pages = "19--29",

journal = "International Journal of Mathematical Analysis",

issn = "1312-8876",

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TY - JOUR

T1 - Notes on starlike log-harmonic functions of order α

AU - Aydoǧan, Melike

AU - Duman, Emel Yavuz

AU - Owa, Shigeyoshi

PY - 2013

Y1 - 2013

N2 - For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.

AB - For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.

KW - Analytic

KW - Coefficient inequality

KW - Log-harmonic

KW - Starlike

UR - https://www.scopus.com/pages/publications/84874773462

M3 - Article

AN - SCOPUS:84874773462

SN - 1312-8876

VL - 7

SP - 19

EP - 29

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 1-4

ER -

Notes on starlike log-harmonic functions of order α

Abstract

Keywords

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