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Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

Author

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  • Arooj Fatima
  • Umar Raza
  • Afis Saliu
  • Tanweer Sohail

Abstract

For −1≤λ≤1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, 1+τf″τ/f′τ≺1/1−λτ. In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants H2,1f and H2,2f for this class. Most of the bounds presented are sharp.

Suggested Citation

  • Arooj Fatima & Umar Raza & Afis Saliu & Tanweer Sohail, 2026. "Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function," Journal of Mathematics, Hindawi, vol. 2026, pages 1-11, April.
    • Handle: RePEc:hin:jjmath:3671812
    DOI: 10.1155/jom/3671812
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