Balasubramanian, R. ; Ponnusamy, S. ; Prabhakaran, D. J.
(2004)
*Duality techniques for certain integral transforms to be starlike*
Journal of Mathematical Analysis and Applications, 293
(1).
pp. 355-373.
ISSN 0022-247X

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00222...

Related URL: http://dx.doi.org/10.1016/j.jmaa.2004.01.011

## Abstract

For β<1, let P_{γ}(β) denote the class of all normalized analytic functions f such that Re{e^{iφ} (1-γ) f(z)/z + γf'(z) - β} > 0, z ∈ Δ. for some φ ∈ R. Let S^{∗}(μ).0 ≤ μ<1, denote the usual class of stalike functions of order μ, S^{∗}(μ) = {f : Re (zf'(z)/f(z)) > μ, z ∈ Δ}. In this paper we find conditions so that the integral transform V_{λ}(f)(z) = ∫_{0}^{1}λ(t) f(tz)/t dt carries P_{γ}(β) into S^{∗}(µ). We provide a number of applications for certain special choices of λ(t). These results extend previously known results by a number of authors.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Duality; Univalent; Starlike and Convex Functions |

ID Code: | 1291 |

Deposited On: | 04 Oct 2010 07:55 |

Last Modified: | 16 May 2011 04:29 |

Repository Staff Only: item control page