Certain subclasses of bi-univalent functions associated with the Hohlov operator

Authors

  • Gangadharan m Murugusundaramoorthy

    VIT UNIVERSITY,VEllore-632014

  • Hari M Srivastava

    University of Victoria,

  • najundan n magesh

    Government Arts College for Men,

How to Cite

Murugusundaramoorthy, G. m, Srivastava, H. M., & magesh, najundan n. (2013). Certain subclasses of bi-univalent functions associated with the Hohlov operator. Global Journal of Mathematical Analysis, 1(2), 67-73. https://doi.org/10.14419/gjma.v1i2.937

Received date: May 10, 2013

Accepted date: May 11, 2013

Published date: June 6, 2013

DOI:

https://doi.org/10.14419/gjma.v1i2.937

Abstract

In this paper, we introduce and investigate two new subclasses of the function class of bi-univalent functions defined in the open unit disk, which are associated with the Hohlovoperator, that is, a familiar special case of the widely- (and extensively-) investigated Dziok-Srivastava linear operator. Furthermore, we find estimates on the Taylor-Maclaurin coefficients|a_2| and |a_3| for functions in these new subclasses. Several (known or new) consequences of theresults are also pointed out.

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How to Cite

Murugusundaramoorthy, G. m, Srivastava, H. M., & magesh, najundan n. (2013). Certain subclasses of bi-univalent functions associated with the Hohlov operator. Global Journal of Mathematical Analysis, 1(2), 67-73. https://doi.org/10.14419/gjma.v1i2.937

Received date: May 10, 2013

Accepted date: May 11, 2013

Published date: June 6, 2013