Duality techniques for certain integral transforms to be starlike

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 Pγ(β) denote the class of all normalized analytic functions f such that Re{e (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 Vλ(f)(z) = ∫01λ(t) f(tz)/t dt carries Pγ(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