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Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

Author

Listed:
  • A. K. Mishra
  • P. Gochhayat

Abstract

By making use of the fractional differential operator due to Owa and Srivastava, a class of analytic functions is introduced. The sharp bound for the nonlinear functional is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:153280
    DOI: 10.1155/2008/153280
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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.
    2. Huo Tang & Ihtesham Gul & Saqib Hussain & Saima Noor, 2023. "Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    3. Hari M. Srivastava & Qazi Zahoor Ahmad & Maslina Darus & Nazar Khan & Bilal Khan & Naveed Zaman & Hasrat Hussain Shah, 2019. "Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    4. Rabha W. Ibrahim, 2013. "Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, January.
    5. Hari M. Srivastava & Qazi Zahoor Ahmad & Nasir Khan & Nazar Khan & Bilal Khan, 2019. "Hankel and Toeplitz Determinants for a Subclass of q -Starlike Functions Associated with a General Conic Domain," Mathematics, MDPI, vol. 7(2), pages 1-15, February.

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