### Abstract

In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which eqation reqired,(n,m ε N_{0}, λ_{2} ≥ λ_{1}≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (convolutionn)are given. As a special case of the result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives is obtained. the motivation of this paper is to give a generalization of the Fekete-Szegö inequalities obtained by Srivasatava and Mishra by making use of D^{n,m} λ1λ_{2}f(z) the generalized Ruscheweyh derivatives operator introduced by authors [3].

Original language | English |
---|---|

Pages (from-to) | 571-580 |

Number of pages | 10 |

Journal | International Journal of Pure and Applied Mathematics |

Volume | 71 |

Issue number | 4 |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- Analytic function
- Derivative operator
- Fekete-Szegö inequality
- Starlike functions
- Subordination

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*International Journal of Pure and Applied Mathematics*,

*71*(4), 571-580.

**On fekete-szegö problems for certain subclass of analytic functions.** / Eljamal, E. A.; Darus, Maslina.

Research output: Contribution to journal › Article

*International Journal of Pure and Applied Mathematics*, vol. 71, no. 4, pp. 571-580.

}

TY - JOUR

T1 - On fekete-szegö problems for certain subclass of analytic functions

AU - Eljamal, E. A.

AU - Darus, Maslina

PY - 2011

Y1 - 2011

N2 - In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which eqation reqired,(n,m ε N0, λ2 ≥ λ1≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (convolutionn)are given. As a special case of the result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives is obtained. the motivation of this paper is to give a generalization of the Fekete-Szegö inequalities obtained by Srivasatava and Mishra by making use of Dn,m λ1λ2f(z) the generalized Ruscheweyh derivatives operator introduced by authors [3].

AB - In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which eqation reqired,(n,m ε N0, λ2 ≥ λ1≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (convolutionn)are given. As a special case of the result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives is obtained. the motivation of this paper is to give a generalization of the Fekete-Szegö inequalities obtained by Srivasatava and Mishra by making use of Dn,m λ1λ2f(z) the generalized Ruscheweyh derivatives operator introduced by authors [3].

KW - Analytic function

KW - Derivative operator

KW - Fekete-Szegö inequality

KW - Starlike functions

KW - Subordination

UR - http://www.scopus.com/inward/record.url?scp=80053581941&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053581941&partnerID=8YFLogxK

M3 - Article

VL - 71

SP - 571

EP - 580

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 4

ER -