### Abstract

A new subclass of analytic functions k - SP_{λ}(α) is introduced by applying certain operators of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order α. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.

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

Pages (from-to) | 103-109 |

Number of pages | 7 |

Journal | Tamkang Journal of Mathematics |

Volume | 38 |

Issue number | 2 |

Publication status | Published - 2007 |

### Fingerprint

### Keywords

- Fractional calculus
- k-uniformly convex
- k-uniformly starlike

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Tamkang Journal of Mathematics*,

*38*(2), 103-109.

**Applications of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order α.** / Akbarally, Ajab; Darus, Maslina.

Research output: Contribution to journal › Article

*Tamkang Journal of Mathematics*, vol. 38, no. 2, pp. 103-109.

}

TY - JOUR

T1 - Applications of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order α

AU - Akbarally, Ajab

AU - Darus, Maslina

PY - 2007

Y1 - 2007

N2 - A new subclass of analytic functions k - SPλ(α) is introduced by applying certain operators of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order α. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.

AB - A new subclass of analytic functions k - SPλ(α) is introduced by applying certain operators of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order α. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.

KW - Fractional calculus

KW - k-uniformly convex

KW - k-uniformly starlike

UR - http://www.scopus.com/inward/record.url?scp=34548220091&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548220091&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34548220091

VL - 38

SP - 103

EP - 109

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

SN - 0049-2930

IS - 2

ER -