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

Estimates on the coefficients |[a.sub.2]| and |[a.sub.3]| are obtained for normalized analytic function f in the open disk with f and its inverse g = [f.sup.-1] satisfy the condition that [mathematical expression not reproducible] and [mathematical expression not reproducible] are both subordinate t...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2021-04, Vol.11 (2), p.580
Main Author: Vijaya, K
Format: Article
Language:English
Subjects:
Analytic functions
Functional equations
Functions
Mathematical research
Parabola
Online Access:Get full text
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Summary:Estimates on the coefficients |[a.sub.2]| and |[a.sub.3]| are obtained for normalized analytic function f in the open disk with f and its inverse g = [f.sup.-1] satisfy the condition that [mathematical expression not reproducible] and [mathematical expression not reproducible] are both subordinate to an analytic function in parabolic region. Furthermore, we estimate the Fekete-Szego functional for f [member of] [P.sub.[summation],p]([lambda], [[psi].sub.[alpha]]). Keywords: Analytic functions, univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, and subordination.
ISSN:2146-1147
2146-1147