Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS

  • Adegani, Ebrahim Analouei (Department of Mathematics Shahrood University of Technology) ;
  • Bulut, Serap (Kocaeli University Faculty of Aviation and Space Sciences Arslanbey Campus) ;
  • Zireh, Ahmad (Department of Mathematics Shahrood University of Technology)
  • Received : 2017.01.18
  • Accepted : 2017.11.24
  • Published : 2018.03.31
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Abstract

In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass $\Sigma({\tau},{\gamma},{\varphi})$ which is defined by subordination conditions in the open unit disk ${\mathbb{U}}$. In certain cases, our estimates improve some of those existing coefficient bounds.

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References

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