Certain Subclasses of Analytic and Bi-Univalent Functions Involving Double Zeta Functions

Saibah Siregar (1), Sintuja Raman (2)
(1) Faculty of Science and Biotechnology, University Selangor, Malaysia
(2) Faculty of Science and Biotechnology, University Selangor, Malaysia
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How to cite (IJASEIT) :
Siregar, Saibah, and Sintuja Raman. “Certain Subclasses of Analytic and Bi-Univalent Functions Involving Double Zeta Functions”. International Journal on Advanced Science, Engineering and Information Technology, vol. 2, no. 5, Oct. 2012, pp. 356-8, doi:10.18517/ijaseit.2.5.222.
In the present paper, we introduce two new subclasses of the functions class Σ of bi-univalent functions involving double zeta functions in the open unit disc U={z:zEC, |z|<1}. The estimates on the coefficients |a2| and |a3| for functions in these new subclasses of the function class Σ are obtained in our investigation.

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