Fekete-Szegö problem for subclasses of uniformly starlike functions with respect to symmetric points

S. P. Goyal, P. Vijaywargiya, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the present investigation, sharp upper bounds of 3 2 {pipe}ηa 2 2 - a 3{pipe} for functions f(z) = z+a 2z 2+a 3z 3 +··· belonging to certain subclasses of uniformly starlike functions with respect to symmetric points are obtained. Also, certain applications of the main results for certain subclasses defined by convolution will be considered. In addition, Fekete-Szegö inequalities for certain classes of analytic functions defined by fractional derivatives are also given.

Original languageEnglish
Pages (from-to)169-192
Number of pages24
JournalFar East Journal of Mathematical Sciences
Volume60
Issue number2
Publication statusPublished - Jan 2012

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Starlike Functions
Fractional Derivative
Convolution
Analytic function
Upper bound
Class

Keywords

  • β -uniformly convex functions
  • Conic domain
  • Fekete-Szegö problem
  • Fractional derivative
  • Hadamard product

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fekete-Szegö problem for subclasses of uniformly starlike functions with respect to symmetric points. / Goyal, S. P.; Vijaywargiya, P.; Darus, Maslina.

In: Far East Journal of Mathematical Sciences, Vol. 60, No. 2, 01.2012, p. 169-192.

Research output: Contribution to journalArticle

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