IJPAM: Volume 101, No. 7 (2015)

SUBCLASSES OF ANALYTIC BI-UNIVALENT
FUNCTIONS INVOLVING DZIOK-RAINA OPERATOR

K. Muthunagai$^1$, Thomas Rosy$^2$
$^1$School of Advanced Sciences
VIT Chennai, INDIA
$^2$Department of Mathematics
Madras Christian College
Tambaram


Abstract. In this paper, we introduce and investigate two new subclasses $V_\Sigma^\alpha$ and $V_\Sigma(\beta)$of normalized analytic functions in the open unit disk $U$ whose inverse has univalent analytic continuation to $U$. Estimates of initial coefficients of bi-univalent functions belonging to these classes defined using Dziok- Raina operator are determined.

Received: March 12, 2015

AMS Subject Classification:

Key Words and Phrases: Dziok-Raina operator, Wright's generalised hypergeometric function, Bi-univalent

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DOI: 10.12732/ijpam.v101i7.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 7
Pages: 605 -


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