Estimates of Initial Coefficients for Bi-Univalent Functions

Estimates of Initial Coefficients for Bi-Univalent Functions

We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-u...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.672-677-480
1. Verfasser: Zaprawa, Paweł
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Equality
Estimates
Theorems
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Zusammenfassung:We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions. The estimates of initial coefficients in these classes are obtained.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/357480