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Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant

Author

Listed:
  • D. Vamshee Krishna

    (GITAM University)

  • T. Ram Reddy

    (Kakatiya University)

Abstract

The objective of this paper is to obtain an upper bound to the functional |a 2 a 4 − a 3 2 | for the function f and its inverse belonging to certain subclasses of analytic functions, using Toeplitz determinants.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:indpam:v:46:y:2015:i:1:d:10.1007_s13226-015-0111-1
    DOI: 10.1007/s13226-015-0111-1
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    References listed on IDEAS

    as
    1. A. K. Mishra & P. Gochhayat, 2008. "Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-10, March.
    2. 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.
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