Radii of starlikeness and convexity of analytic functions satisfying certain coefficient inequalities

Year, pages: 2014, 27 - 38

For $0≤ α <1$, the sharp radii of starlikeness and convexity of order $α$ for functions of the form $f(z)=z+a₂z²+a₃z³+...$ whose Taylor coefficients $a_n$ satisfy the conditions $|a₂|=2b$, $0≤ b≤ 1$, and $|a_n|≤ n$, $M$ or $M/n$ ($M>0$) for $n≥ 3$ are obtained. Also a class of functions related to Carath

Ravichandran, V. 2014. Radii of starlikeness and convexity of analytic functions satisfying certain coefficient inequalities. In Mathematica Slovaca, vol. 64, no.1, pp. 27-38. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0184-4

Ravichandran, V. (2014). Radii of starlikeness and convexity of analytic functions satisfying certain coefficient inequalities. Mathematica Slovaca, 64(1), 27-38. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0184-4