Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination

B. Srutha Keerthi; S. Prema

Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination

Dr. B. Srutha Keerthi * §

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S. Prema

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§ Anna University, Chennai

Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination

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Abstract

An analytic function is quasi-subordinate to an analytic function , in the open unit disk if there exist analytic function and , with (0) = 0 and 1 such that Certain subclasses of analytic univalent functions associated with quasisubordination are defined and the bounds for the Fekete-Szego coefficient functional for functions belonging to these subclasses are derived.

References

9 Cites in Article

Reference Format

1. Subordination P. Duren,in Analysis,Springer Lecture Notes in Mathematics,Germany Berlin (1977). Subordination.
2. W. Ma,D. Minda (1994). A unified treatment of some special classes of univalent functions. Proceedings of the Conference on Complex Analysis, 1, 157-169.
3. M. Robertson (1970). Quasi-subordination and coefficient conjectures. Bulletin of the American Mathematical Society, 76(1), 1-9.
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4. O. Altinta¸s,Majorizations S. Owa,quasi-subordinations functions,Proceedings AcademyA (1992). Majorizations and quasi-subordinations for certain analytic functions.
5. S. Lee Quasi-subordinate functions and coefficient conjectures. Journal of the Korean Mathematical Society, 43-50.
6. F. Ren,S. Owa,S. Fukui,Some functions,Bulletin of the Australian Mathematical Society (1991). Some inequalities on quasi-subordinate functions.
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8. Z. Lewandowski,S. Miller,E. Zlotkiewicz (1976). Gamma-starlike functions. Annales Universitatis Mariae Curie-Sklodowska A, 28, 53-58.
9. M. Darus,D. Thomas (1998). Convex Functions. Pure and Applied Mathematics, 29(10), 1049-1059.

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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

B. Srutha Keerthi, S. Prema. 2013. "Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue 26 (F6)).

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GJSFR Volume 13 Issue 26 (F6)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

coefficient functional for functions belonging

Classification

GJSFR-F Classification MSC 2010: 30C50

30D60

Submission ReceivedMay 29, 2013
Peer Review Double Blind
Handling Editor
Accepted June 19, 2013
Published June 5, 2013

Version of record

v1.2

Issue date

June 5, 2013

Language

English

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Article Matrices

Total Score: 102

Country: India

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

Authors: B. Srutha Keerthi, S. Prema (PhD/Dr. count: 0)

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Publish Date: 2013 05, Wed

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