Heliyon (Nov 2023)

Hankel determinant for certain new classes of analytic functions associated the activation functions

  • YueJuan Sun,
  • Muhammad Arif,
  • Khalil Ullah,
  • Lei Shi,
  • Muhammad Imran Faisal

Journal volume & issue
Vol. 9, no. 11
p. e21449

Abstract

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In this article, we introduce two new classes of analytic functions Jtanh and JSG which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions. For functions in these classes, our primary goal is to determine the sharp upper bounds of second and third Hankel determinants.

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