### Abstract

In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operators. Characterization property,the results on modified Hadamard product and integrals transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here.

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

Journal | Journal of Inequalities in Pure and Applied Mathematics |

Volume | 6 |

Issue number | 3 |

Publication status | Published - 26 Jul 2005 |

### Fingerprint

### Keywords

- Convex
- Fractional calculus integral operator
- Starlike
- Uniformly convex
- Univalent

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Journal of Inequalities in Pure and Applied Mathematics*,

*6*(3).

**A subclass of uniformly convex functions associated with certain fractional calculus operators.** / Murugusundaramoorthy, G.; Rosy, Thomas; Darus, Maslina.

Research output: Contribution to journal › Article

*Journal of Inequalities in Pure and Applied Mathematics*, vol. 6, no. 3.

}

TY - JOUR

T1 - A subclass of uniformly convex functions associated with certain fractional calculus operators

AU - Murugusundaramoorthy, G.

AU - Rosy, Thomas

AU - Darus, Maslina

PY - 2005/7/26

Y1 - 2005/7/26

N2 - In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operators. Characterization property,the results on modified Hadamard product and integrals transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here.

AB - In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operators. Characterization property,the results on modified Hadamard product and integrals transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here.

KW - Convex

KW - Fractional calculus integral operator

KW - Starlike

KW - Uniformly convex

KW - Univalent

UR - http://www.scopus.com/inward/record.url?scp=24144457266&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24144457266&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:24144457266

VL - 6

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

SN - 1443-5756

IS - 3

ER -