### Abstract

By making use of the linear operator Θ ^{λ,n} _{m}, m ε N = {1,2,3, . . .} and λ, n ε N _{0} = NU{0} given by the authors, a class of analytic functions S ^{λ,n} _{m}(α, σ)(|α| < π/2, 0 ≤ σ < 1) is introduced. The object of the present paper is to obtain sharp upper bound for functional |a _{2}a _{4} - a ^{2} _{3}|.

Original language | English |
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Pages (from-to) | 455-462 |

Number of pages | 8 |

Journal | Tamkang Journal of Mathematics |

Volume | 43 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 2012 |

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### Keywords

- Hankel determinant
- Linear operator
- Positive real functions

### ASJC Scopus subject areas

- Metals and Alloys
- Materials Science(all)

### Cite this

**Second hankel determinant for a class of analytic functions defined by a linear operator.** / Mohammed, Aabed; Darus, Maslina.

Research output: Contribution to journal › Article

*Tamkang Journal of Mathematics*, vol. 43, no. 3, pp. 455-462. https://doi.org/10.5556/j.tkjm.43.2012.455-462

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TY - JOUR

T1 - Second hankel determinant for a class of analytic functions defined by a linear operator

AU - Mohammed, Aabed

AU - Darus, Maslina

PY - 2012/9

Y1 - 2012/9

N2 - By making use of the linear operator Θ λ,n m, m ε N = {1,2,3, . . .} and λ, n ε N 0 = NU{0} given by the authors, a class of analytic functions S λ,n m(α, σ)(|α| < π/2, 0 ≤ σ < 1) is introduced. The object of the present paper is to obtain sharp upper bound for functional |a 2a 4 - a 2 3|.

AB - By making use of the linear operator Θ λ,n m, m ε N = {1,2,3, . . .} and λ, n ε N 0 = NU{0} given by the authors, a class of analytic functions S λ,n m(α, σ)(|α| < π/2, 0 ≤ σ < 1) is introduced. The object of the present paper is to obtain sharp upper bound for functional |a 2a 4 - a 2 3|.

KW - Hankel determinant

KW - Linear operator

KW - Positive real functions

UR - http://www.scopus.com/inward/record.url?scp=84867218654&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867218654&partnerID=8YFLogxK

U2 - 10.5556/j.tkjm.43.2012.455-462

DO - 10.5556/j.tkjm.43.2012.455-462

M3 - Article

AN - SCOPUS:84867218654

VL - 43

SP - 455

EP - 462

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

SN - 0049-2930

IS - 3

ER -