### Abstract

Motivated by the familiar q-hypergeometric functions, we introduce here a new general operator. By this operator, we define a subclass of analytic function. The class generalizes well known classes of starlike and convex functions. The integral means inequalities of this class are investigated. Also, we consider p-γ-neighborhood for functions in this class. Our result contains some interesting corollaries as its special cases.

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

Pages (from-to) | 454-465 |

Number of pages | 12 |

Journal | Matematicki Vesnik |

Volume | 65 |

Issue number | 4 |

Publication status | Published - 10 Jun 2012 |

### Fingerprint

### Keywords

- General operator
- Integral means inequalities
- Neighborhood
- Q-derivative
- q-hypergeometric functions
- Q-shifted factorial

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Matematicki Vesnik*,

*65*(4), 454-465.

**A generalized operator involving the q-hypergeometric function.** / Mohammed, Aabed; Darus, Maslina.

Research output: Contribution to journal › Article

*Matematicki Vesnik*, vol. 65, no. 4, pp. 454-465.

}

TY - JOUR

T1 - A generalized operator involving the q-hypergeometric function

AU - Mohammed, Aabed

AU - Darus, Maslina

PY - 2012/6/10

Y1 - 2012/6/10

N2 - Motivated by the familiar q-hypergeometric functions, we introduce here a new general operator. By this operator, we define a subclass of analytic function. The class generalizes well known classes of starlike and convex functions. The integral means inequalities of this class are investigated. Also, we consider p-γ-neighborhood for functions in this class. Our result contains some interesting corollaries as its special cases.

AB - Motivated by the familiar q-hypergeometric functions, we introduce here a new general operator. By this operator, we define a subclass of analytic function. The class generalizes well known classes of starlike and convex functions. The integral means inequalities of this class are investigated. Also, we consider p-γ-neighborhood for functions in this class. Our result contains some interesting corollaries as its special cases.

KW - General operator

KW - Integral means inequalities

KW - Neighborhood

KW - Q-derivative

KW - q-hypergeometric functions

KW - Q-shifted factorial

UR - http://www.scopus.com/inward/record.url?scp=84880760369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880760369&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84880760369

VL - 65

SP - 454

EP - 465

JO - Matematicki Vesnik

JF - Matematicki Vesnik

SN - 0025-5165

IS - 4

ER -