International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 318582, 9 pages
Some New Inclusion and Neighborhood Properties for
Certain Multivalent Function Classes Associated with the Convolution Structure
1Department of Mathematics, Sobhasaria Engineering College, NH-11, Gokulpura, Sikar, Rajasthan 332001, India
2University of Agriculture and Technology, Udaipur 313001, India
Received 13 August 2007; Accepted 7 January 2008
Academic Editor: Brigitte Forster-Heinlein
Copyright © 2008 J. K. Prajapat and R. K. Raina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We use the familiar convolution structure of analytic functions to introduce
two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships
associated with the -neighborhoods for these subclasses. Some interesting consequences
of these results are also pointed out.