### Abstract

We define an operator on the class A of analytic functions in the unit disk U = {z : z < 1} involving the polylogarithms functions and introduce certain new subclasses of A using this operator. Some inclusion results, covering theorem, coefficients inequalities, and several other interesting properties of these classes are obtained.

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

Pages (from-to) | 46-50 |

Number of pages | 5 |

Journal | Journal of Mathematics and Statistics |

Volume | 4 |

Issue number | 1 |

Publication status | Published - 2008 |

### Fingerprint

### Keywords

- Analytic functions
- Derivative operate
- Polylogarithms functions
- Univalent functions

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

*Journal of Mathematics and Statistics*,

*4*(1), 46-50.

**An operator defined by convolution involving the polylogarithms functions.** / Al Shaqsi, K.; Darus, Maslina.

Research output: Contribution to journal › Article

*Journal of Mathematics and Statistics*, vol. 4, no. 1, pp. 46-50.

}

TY - JOUR

T1 - An operator defined by convolution involving the polylogarithms functions

AU - Al Shaqsi, K.

AU - Darus, Maslina

PY - 2008

Y1 - 2008

N2 - We define an operator on the class A of analytic functions in the unit disk U = {z : z < 1} involving the polylogarithms functions and introduce certain new subclasses of A using this operator. Some inclusion results, covering theorem, coefficients inequalities, and several other interesting properties of these classes are obtained.

AB - We define an operator on the class A of analytic functions in the unit disk U = {z : z < 1} involving the polylogarithms functions and introduce certain new subclasses of A using this operator. Some inclusion results, covering theorem, coefficients inequalities, and several other interesting properties of these classes are obtained.

KW - Analytic functions

KW - Derivative operate

KW - Polylogarithms functions

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=49249101609&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49249101609&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 46

EP - 50

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

SN - 1549-3644

IS - 1

ER -