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Volume 30, Issue 2
Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions

C. Selvaraj, O. S. Babu & G. Murugusundaramoorthy

DOI: 10.4208/ata.2014.v30.n2.1

Anal. Theory Appl., 30 (2014), pp. 141-150.

Published online: 2014-06

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  • Abstract

In this paper, we introduce and investigate a new subclass of the function class $\Sigma$ of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out.

  • Keywords

Analytic functions, univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, bi-Mocanu-convex functions, subordination, Hohlov operator.

  • AMS Subject Headings

30C45

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{ATA-30-141, author = {C. Selvaraj, O. S. Babu and G. Murugusundaramoorthy}, title = {Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {2}, pages = {141--150}, abstract = {

In this paper, we introduce and investigate a new subclass of the function class $\Sigma$ of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n2.1}, url = {http://global-sci.org/intro/article_detail/ata/4480.html} }
TY - JOUR T1 - Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions AU - C. Selvaraj, O. S. Babu & G. Murugusundaramoorthy JO - Analysis in Theory and Applications VL - 2 SP - 141 EP - 150 PY - 2014 DA - 2014/06 SN - 30 DO - http://doi.org/10.4208/ata.2014.v30.n2.1 UR - https://global-sci.org/intro/article_detail/ata/4480.html KW - Analytic functions, univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, bi-Mocanu-convex functions, subordination, Hohlov operator. AB -

In this paper, we introduce and investigate a new subclass of the function class $\Sigma$ of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out.

C. Selvaraj, O. S. Babu and G. Murugusundaramoorthy. (2014). Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions. Analysis in Theory and Applications. 30 (2). 141-150. doi:10.4208/ata.2014.v30.n2.1
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