### Abstract

By applying g-calculus, we introduce new classes of p- valent functions defined by using g-hypergeometric function. We study some interesting properties such as the coefficient estimates, distortion bounds and q- integral representation.

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

Pages (from-to) | 2897-2908 |

Number of pages | 12 |

Journal | Information (Japan) |

Volume | 18 |

Issue number | 7 |

Publication status | Published - 1 Jul 2015 |

### Keywords

- (q-derivative
- Analytic functions
- G-analogue of starlike functions
- G-integral
- Q-analogue of convex functions

### ASJC Scopus subject areas

- General

### Cite this

*Information (Japan)*,

*18*(7), 2897-2908.

**New subclass of analytic functions defined by q -differentiation.** / Oshah, Anessa; Darus, Maslina.

Research output: Contribution to journal › Article

*Information (Japan)*, vol. 18, no. 7, pp. 2897-2908.

}

TY - JOUR

T1 - New subclass of analytic functions defined by q -differentiation

AU - Oshah, Anessa

AU - Darus, Maslina

PY - 2015/7/1

Y1 - 2015/7/1

N2 - By applying g-calculus, we introduce new classes of p- valent functions defined by using g-hypergeometric function. We study some interesting properties such as the coefficient estimates, distortion bounds and q- integral representation.

AB - By applying g-calculus, we introduce new classes of p- valent functions defined by using g-hypergeometric function. We study some interesting properties such as the coefficient estimates, distortion bounds and q- integral representation.

KW - (q-derivative

KW - Analytic functions

KW - G-analogue of starlike functions

KW - G-integral

KW - Q-analogue of convex functions

UR - http://www.scopus.com/inward/record.url?scp=84942784683&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942784683&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84942784683

VL - 18

SP - 2897

EP - 2908

JO - Information (Japan)

JF - Information (Japan)

SN - 1343-4500

IS - 7

ER -