### Abstract

Problem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the linear operator aforementioned. Results: Having the operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various authors. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, interesting operators could be obtained with some earlier results and standard methods.

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

Pages (from-to) | 34-41 |

Number of pages | 8 |

Journal | Journal of Mathematics and Statistics |

Volume | 6 |

Issue number | 1 |

Publication status | Published - 2010 |

### Fingerprint

### Keywords

- Hadamard product
- Hypergeometric
- Linear operator
- Meromorphic

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

**Some properties of certain subclass of meromorphically multivalent functions defined by linear operator.** / Ghanim, F.; Darus, Maslina.

Research output: Contribution to journal › Article

*Journal of Mathematics and Statistics*, vol. 6, no. 1, pp. 34-41.

}

TY - JOUR

T1 - Some properties of certain subclass of meromorphically multivalent functions defined by linear operator

AU - Ghanim, F.

AU - Darus, Maslina

PY - 2010

Y1 - 2010

N2 - Problem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the linear operator aforementioned. Results: Having the operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various authors. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, interesting operators could be obtained with some earlier results and standard methods.

AB - Problem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the linear operator aforementioned. Results: Having the operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various authors. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, interesting operators could be obtained with some earlier results and standard methods.

KW - Hadamard product

KW - Hypergeometric

KW - Linear operator

KW - Meromorphic

UR - http://www.scopus.com/inward/record.url?scp=77952858936&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952858936&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77952858936

VL - 6

SP - 34

EP - 41

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

SN - 1549-3644

IS - 1

ER -