Bounds of Hankel Determinant for a Class of Univalent Functions

Sarika Verma, Sushma Gupta and Sukhjit Singh

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-6

Abstract:

The authors study the coefficient condition for the class â„Œ ð ›¼ defined as the family of analytic functions ð ‘“ , ð ‘“ ( 0 ) = 0 and ð ‘“ ′ ( 0 ) = 1 , which satisfy â„œ [ ( 1 − ð ›¼ ) ð ‘“ ′ ( 𠑧 ) + ð ›¼ ( 1 + ( 𠑧 ð ‘“ ′ ′ ( 𠑧 ) ) / ( ð ‘“ ′ ( 𠑧 ) ) ) ] > ð ›¼ , 𠑧 ∈ ð ¸ , where ð ›¼ is a real number.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:147842

DOI: 10.1155/2012/147842

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