CERTAIN SUBCLASS OF PASCU-TYPE BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN

CERTAIN SUBCLASS OF PASCU-TYPE BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN

K. Vijaya

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Abstract

Estimates on the coecients ja2j and ja3j are obtained for normalized analytic function f in the open disk with f and its inverse g = f1 satisfy the condition that zf0(z) + z2f00(z) (1 )f(z) + zf0(z) and zg0(z) + z2g00(z) (1 )g(z) + zg0(z) (0    1) are both subordinate to an analytic function in parabolic region. Furthermore, we estimate the Fekete-Szego functional for f 2 P;P (; ').

Keywords

Analytic functions, univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, and subordination.