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On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

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  • Umar Raza
  • Mohsan Raza
  • Afis Saliu

Abstract

In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1+zf″z/f′z≺cosz. We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function. These findings improve the results recently studied in the literature.

Suggested Citation

  • Umar Raza & Mohsan Raza & Afis Saliu, 2025. "On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions," Journal of Mathematics, Hindawi, vol. 2025, pages 1-21, October.
    • Handle: RePEc:hin:jjmath:3512272
    DOI: 10.1155/jom/3512272
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