On Coefficient Estimates and Neighbourhood Problem for Generalized Sakaguchi Type Functions

α
Dr. B. Srutha Keerthi
Dr. B. Srutha Keerthi
σ
S. Chinthamani
S. Chinthamani
α Anna University, Chennai Anna University, Chennai

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On Coefficient Estimates and Neighbourhood  Problem for Generalized Sakaguchi Type Functions

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Abstract

In the present investigation, we introduce a new class of analytic functions with negative coefficients. The various results obtained here for this function include coefficient estimate and inclusion relationships involving the neighbourhoods of the analytic function.

References

16 Cites in Article
  1. O Altinta,E Ozkan,H Srivastava (2000). Neighborhoods of a class of analytic functions with negative coefficients.
  2. Adriana Catas (2009). Neighborhoods of a certain class of analytic functions with negative coefficients.
  3. Erhan Deniz,Halit Orhan (2010). The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions.
  4. Erhan Deni̇z,Halit Orhan (2010). Some properties of certain subclasses of analytic functions with negative coefficients by using generalized ruscheweyh derivative operator.
  5. A Goodman (1957). Univalent functions and nonanalytic curves.
  6. A Goodman (1991). On uniformly starlike functions.
  7. H Orhan (2007). On neighborhoods of analytic functions defined by using hadamard product.
  8. S Owa,T Sekine,R Yamakawa (2007). On Sakaguchi type functions.
  9. D Raducanu,H Orhan (2010). Subclasses of analytic functions defined by a generalized differential operator, a.
  10. Stephan Ruscheweyh (1981). Neighborhoods of univalent functions.
  11. Koichi Sakaguchi (1959). On a certain univalent mapping..
  12. G Salagean (1981). Subclasses of univalent functions.
  13. H Srivastava,M Aouf (1992). A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients.
  14. Rasheed Al-Salih,Martin Bohner (1995). Linear programming problems on time scales.
  15. (1989). Univalent Functions, Fractional Calculus, and their Applications.
  16. Murat Caglar,Halit Orhan (2012). On Coefficient Estimates and Neighborhood Problem for Generalized Sakaguchi type Functions.

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

Dr. B. Srutha Keerthi. 2013. \u201cOn Coefficient Estimates and Neighbourhood Problem for Generalized Sakaguchi Type Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F14): .

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Issue Cover
GJSFR Volume 12 Issue F14
Pg. 47- 55
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

January 5, 2013

Language
en
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In the present investigation, we introduce a new class of analytic functions with negative coefficients. The various results obtained here for this function include coefficient estimate and inclusion relationships involving the neighbourhoods of the analytic function.

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On Coefficient Estimates and Neighbourhood Problem for Generalized Sakaguchi Type Functions

Dr. B. Srutha Keerthi
Dr. B. Srutha Keerthi Anna University, Chennai
S. Chinthamani
S. Chinthamani

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