Original Article
Kyungpook Mathematical Journal 2009; 49(3): 545-555
Published online September 23, 2009
Copyright © Kyungpook Mathematical Journal.
Multivalent Harmonic Uniformly Starlike Functions
Om Ahuja1, Santosh Joshi2, Naveneet Sangle3
1Department of Mathematics Kent State University, Burton, Ohio, 44021-9500, USA
2Department of Mathematics Walchand College of Engineering, Sangli, (M.S) India 416 415
3Department of Mathematics Annasaheb Dange College of Engineering, Ashta, Sangli, (M.S) India 416 301
In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with $k$-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.
Keywords: harmonic functions, multivalent harmonic functions, convex combinations, distortion bounds, uniformly harmonic starlike