Landau's Theorem for Biharmonic Mappings Constructed from Holomorphic Functions

  • K. P. Balakrishnan Department of Mathematics, Madras Christian College, Tambaram, Chennai - 600059, Tamil Nadu, India
  • S. Sunil Varma Department of Mathematics, Madras Christian College, Tambaram, Chennai - 600059, Tamil Nadu, India
Keywords: Landau theorem, holomorphic function, biharmonic function

Abstract

This article establishes the existence of a Landau-type constant for biharmonic mappings derived from holomorphic functions in the unit disk $\mathbb{D}=\{\zeta \in \mathbb{C}: |\zeta|<1\}$, provides the insights into the geometric properties and behavior of these mappings.

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Published
2026-07-09
How to Cite
Balakrishnan, K. P., & Varma, S. S. (2026). Landau’s Theorem for Biharmonic Mappings Constructed from Holomorphic Functions. Earthline Journal of Mathematical Sciences, 16(4), 781-799. https://doi.org/10.34198/ejms.16426.48.781799