IJPAM: Volume 95, No. 2 (2014)

COEFFICIENT ESTIMATE OF CERTAIN SUBCLASSES
OF CONVEX $p-$VALENT FUNCTIONS WITH
A BOUNDED POSITIVE REAL PART

O.S. Babu$^1$, C. Selvaraj$^2$, G. Murugusundaramoorthy$^3$
$^1$Department of Mathematics
Dr. Ambedkar Govt. Arts College
Chennai, 600039, INDIA
$^2$Department of Mathematics
Presidency College (Autonomous)
Chennai, 600005, INDIA
$^3$Corresponding Author
School of Advanced Sciences
VIT University
Vellore, 632014, INDIA


Abstract. We estimate the bounds of coefficients and solve Fekete-Szegö problem for $p-$valent Mocanu-convex and Pascu-type functions in the open unit disk $\triangle$ which maps $\triangle$ onto the strip domain $w$ with $p\alpha < \Re\, w < p \beta.$

Received: February 23, 2014

AMS Subject Classification: 30C45, 30C50

Key Words and Phrases: analytic function, univalent function, $p-$ valent function, starlike function, Mocanu-convex function, Pascu-type function, subordination, coefficient estimate, Fekete-Szegö problem

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DOI: 10.12732/ijpam.v95i2.3 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: 2014
Volume: 95
Issue: 2
Pages: 137 - 147


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