Some Subclasses of P-Valent Analytic Functions

Some Subclasses of P-Valent Analytic Functions

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T. K. Suresh

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M. P. Jeyaraman

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E. Keshava Reddy

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Anna University, Chennai

Some Subclasses of P-Valent Analytic Functions

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Abstract

The object of the present paper is to derive the sufficient conditions for certain subclasses of -valent analytic functions in the open unit disk. A number of known results would follow upon specializing the parameters involved in our main results. Also, sufficient conditions are found for function to be univalent.

References

9 Cites in Article

Reference Format

Sanford Miller,Petru Mocanu (1987). Differential subordinations and inequalities in the complex plane.
Mamoru Nunokawa (1993). On the order of strongly starlikeness of strongly convex functions.
V Pescar (1996). A new generalization of Ahlfor's and Becker's criterion of univalence.
V Pescar (2003). Univalence criteria of certain integral operators.
J Prajapat (2010). Some Sufficient Conditions for Certain Class of Analytic and Multivalent Functions.
P Duren (1983). Grundlehren der Mathematischen Wissenschaften.
A Goodman (1983). Univalent Functions, Vols. I and II.
Häuseyin Irmak,R Raina (2003). The starlikeness and convexity of multivalent functions involving certain inequalities.
I Jack (1971). Functions Starlike and Convex of Order α.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

T. K. Suresh. 2013. \u201cSome Subclasses of P-Valent Analytic Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3): .

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GJSFR Volume 13 Issue F3
Pg. 15- 25

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Analytic functions p-valently convex functions p-valently starlike functions univalent

Submission ReceivedMarch 13, 2013
Peer Review Double Blind
Handling Editor
Accepted April 4, 2013
Published April 15, 2013

Version of record

v1.2

Issue date

May 6, 2013

Language

en

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Article Matrices

Total Score: 103

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M. P. Jeyaraman, T. K. Suresh, E. Keshava Reddy (PhD/Dr. count: 0)

View Count (all-time): 133

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Publish Date: 2013 05, Mon

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Total Views: 5144

Total Downloads: 2648

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Published Article

The object of the present paper is to derive the sufficient conditions for certain subclasses of -valent analytic functions in the open unit disk. A number of known results would follow upon specializing the parameters involved in our main results. Also, sufficient conditions are found for function to be univalent.

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