[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j170105

ON THE COEFFICIENTS OF GAMMA-STARLIKE FUNCTIONS

Thomas, Derek K. (Department of Mathematics Swansea University)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 175-184 More about this Journal

Abstract

We give several sharp estimates for some initial coefficients problems for the so-called gamma starlike functions f, analytic and univalent in the unit disk $${\mathbb{D}}:=\{z{\in}{\mathbb{C}}:{\mid}z{\mid}$ < $1\}$$ , and normalized so that f(0) = 0 = f'(0)-1, and satisfying Re $$\left[\left(1+{\frac{zf^{{\prime}{\prime}}(z)}{f^{\prime}(z)}}\right)^{\gamma}\left({\frac{zf^{\prime}(z)}{f(z)}}\right)^{1-{\gamma}}\right$ $]$ $$$ > 0.

Keywords

univalent; starlike; convex; gamma-starlike; coefficients;

Citations & Related Records

Reference

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