### Abstract

In the present investigation, sharp upper bounds of 3 2 {pipe}ηa ^{2} _{2} - a _{3}{pipe} for functions f(z) = z+a _{2}z ^{2}+a _{3}z ^{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 language | English |
---|---|

Pages (from-to) | 169-192 |

Number of pages | 24 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 60 |

Issue number | 2 |

Publication status | Published - Jan 2012 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Far East Journal of Mathematical Sciences*,

*60*(2), 169-192.

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

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 60, no. 2, pp. 169-192.

}

TY - JOUR

T1 - Fekete-Szegö problem for subclasses of uniformly starlike functions with respect to symmetric points

AU - Goyal, S. P.

AU - Vijaywargiya, P.

AU - Darus, Maslina

PY - 2012/1

Y1 - 2012/1

N2 - 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.

AB - 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.

KW - β -uniformly convex functions

KW - Conic domain

KW - Fekete-Szegö problem

KW - Fractional derivative

KW - Hadamard product

UR - http://www.scopus.com/inward/record.url?scp=84859034681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859034681&partnerID=8YFLogxK

M3 - Article

VL - 60

SP - 169

EP - 192

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -