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Bounds of Hankel Determinant for a Class of Univalent Functions

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  • Sarika Verma
  • Sushma Gupta
  • Sukhjit Singh

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.

Suggested Citation

  • Sarika Verma & Sushma Gupta & Sukhjit Singh, 2012. "Bounds of Hankel Determinant for a Class of Univalent Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-6, July.
    • Handle: RePEc:hin:jijmms:147842
    DOI: 10.1155/2012/147842
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    Cited by:

    1. D. Vamshee Krishna & T. Ram Reddy, 2015. "Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(1), pages 91-106, February.

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