Some properties of convolution operators in the class P_\alpha(\beta)
Date
2010-04-22T23:07:56Z
Authors
Kim, Yong Chan
Lee, Sang Hun
Srivastava, H.M.
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Abstract
Making use of several families of convolution operators, we introduce and study a certain general class P_\alpha(\beta) (0 \le \alpha<1; \beta \ge 0) of analytic functions in the open unit disk U. We also investigate the relationships between the class P_\alpha(\beta) and the Hardy space H^{00} (of bounded analytic functions in U). Finally, we consider some interesting applications of the results presented here to a class of generalized hypergeometric functions.
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technical reports (mathematics and statistics)