International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 143-148
doi:10.1155/S0161171292000164
Some results on certain subclasses of analytic functions involving generalized hypergeometric functions and Hadamard product
Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Received 26 April 1990; Revised 22 March 1991
Copyright © 1992 Khalida Inayat Noor. 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.
Abstract
By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying relationships between them are established. A variety of characterization results involving a certain functional and some general functions of hypergeometric type are investigated for these classes.