CONSTRUCTION OF A CERTAIN CLASS OF HARMONIC CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH THE ALEXANDER INTEGRAL TRANSFORM

Authors: JAHANGIRI J.1; CHAN KIM Y.2; SRIVASTAVA H.M.3

Source: Integral Transforms and Special Functions, Volume 14, Number 3, June 2003 , pp. 237-242(6)

Publisher: Taylor and Francis Ltd

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Abstract:

The authors make use of the Alexander integral transforms of certain analytic functions (which are starlike or convex of positive order) with a view to investigating the construction of sense-preserving, univalent, and close-to-convex harmonic functions.

Keywords: Alexander integral transform; Analytic functions; Starlike functions; Convex functions; Close-to-convex functions; Harmonic functions

Document Type: Research article

DOI: 10.1080/1065246031000074380

Affiliations: 1: Department of Mathematics and Computer Science, Kent State University, Burton, Ohio 44021-9500, U.S.A. 2: Department of Mathematics, College of Education, Yeungnam University, 214-1 Daedong, Gyongsan 712-749, Korea 3: Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada

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