International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 318582, 9 pages
doi:10.1155/2008/318582
Some new inclusion and neighborhood properties for certain multivalent function classes associated with the convolution structure
J.K. Prajapat1
and R.K. Raina2
1Department of Mathematics, Sobhasaria Engineering College, NH-11, Gokulpura, Sikar, Rajasthan 332001, India
2University of Agriculture and Technology, Udaipur 313001, India
Abstract
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 (n,δ)-neighborhoods for these subclasses. Some interesting consequences of these results are also pointed out.