### Abstract

The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + z^{P} ∞ σk=p+1 akz^{k} which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator A^{n} _{γp}(α,β,μ)f(z) and integral operator F^{m} _{p} (p,v)f(z). Some special cases are also con- sidered.

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

Pages (from-to) | 543-556 |

Number of pages | 14 |

Journal | Italian Journal of Pure and Applied Mathematics |

Volume | 36 |

Publication status | Published - 2016 |

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### Keywords

- Analytic functions
- Differential subordination
- Differential superordination
- Sandwich theorems

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

_{p}-Valent functions associated with a certain generalized differential operator and integral operator.

*Italian Journal of Pure and Applied Mathematics*,

*36*, 543-556.

**Differential sandwich theorems for _{p}-Valent functions associated with a certain generalized differential operator and integral operator.** / Yousef, Feras; Amourah, A. A.; Darus, Maslina.

Research output: Contribution to journal › Article

_{p}-Valent functions associated with a certain generalized differential operator and integral operator',

*Italian Journal of Pure and Applied Mathematics*, vol. 36, pp. 543-556.

}

TY - JOUR

T1 - Differential sandwich theorems for p-Valent functions associated with a certain generalized differential operator and integral operator

AU - Yousef, Feras

AU - Amourah, A. A.

AU - Darus, Maslina

PY - 2016

Y1 - 2016

N2 - The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.

AB - The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.

KW - Analytic functions

KW - Differential subordination

KW - Differential superordination

KW - Sandwich theorems

UR - http://www.scopus.com/inward/record.url?scp=84991109372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991109372&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84991109372

VL - 36

SP - 543

EP - 556

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

SN - 1126-8042

ER -