On subordination for certain subclass of analytic functions

Liu Jinlin

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-4

Abstract:

In the present paper the class P n [ α , M ] consisting of functions f ( z ) = z + ∑ k = n + 1 ∞ a k z z ( n ≥ 1 ) , which are analytic in the unit disc E = { z : | z | < 1 } and satisfy the condition | f ′ ( z ) + α z f ″ ( z ) − 1 | < M is introduced. By using the method of differential subordination the properties of the class P α [ α , M ] are discussed.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:539171

DOI: 10.1155/S016117129700029X

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