On Certain Multivalent Functions

Let 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).

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Bibliographic Details
Main Authors: Mamoru Nunokawa, Shigeyoshi Owa, Tadayuki Sekine, Rikuo Yamakawa, Hitoshi Saitoh, Junichi Nishiwaki
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/72393
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author Mamoru Nunokawa
Shigeyoshi Owa
Tadayuki Sekine
Rikuo Yamakawa
Hitoshi Saitoh
Junichi Nishiwaki
author_facet Mamoru Nunokawa
Shigeyoshi Owa
Tadayuki Sekine
Rikuo Yamakawa
Hitoshi Saitoh
Junichi Nishiwaki
author_sort Mamoru Nunokawa
collection DOAJ
description Let 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2007-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-3cdf7c314a5341ff81a9d7f7a203f06d2025-08-20T03:55:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/7239372393On Certain Multivalent FunctionsMamoru Nunokawa0Shigeyoshi Owa1Tadayuki Sekine2Rikuo Yamakawa3Hitoshi Saitoh4Junichi Nishiwaki5798-8 Hoshikuki-Machi, Chuo-Ku, Chiba-Shi, Chiba 260-0808, JapanDepartment of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JapanResearch unit of Mathematics, College of Pharmacy, Nihon University, 7-1 Narashinodai 7-Chome, Funabashi-Shi, Chiba 274-8555, JapanDepartment of Mathematics, Shibaura Institute of Technology, Minuma, Saitama-Shi, Saitama 337-8570, JapanDepartment of Mathematics, Gunma National College of Technology, Maebashi, Gunma 371-8530, JapanDepartment of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JapanLet 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).http://dx.doi.org/10.1155/2007/72393
spellingShingle Mamoru Nunokawa
Shigeyoshi Owa
Tadayuki Sekine
Rikuo Yamakawa
Hitoshi Saitoh
Junichi Nishiwaki
On Certain Multivalent Functions
International Journal of Mathematics and Mathematical Sciences
title On Certain Multivalent Functions
title_full On Certain Multivalent Functions
title_fullStr On Certain Multivalent Functions
title_full_unstemmed On Certain Multivalent Functions
title_short On Certain Multivalent Functions
title_sort on certain multivalent functions
url http://dx.doi.org/10.1155/2007/72393
work_keys_str_mv AT mamorununokawa oncertainmultivalentfunctions
AT shigeyoshiowa oncertainmultivalentfunctions
AT tadayukisekine oncertainmultivalentfunctions
AT rikuoyamakawa oncertainmultivalentfunctions
AT hitoshisaitoh oncertainmultivalentfunctions
AT junichinishiwaki oncertainmultivalentfunctions