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For $f_i$ belonging to various subclasses of univalent functions, we investigate the product given by $h(z)=z{\prod_{i=1}^{n}}(f_i(z)/z)^{{\gamma}_i}$.The largest radius ${\rho}$ is determined such that $h({\rho}z)/{\rho}$ is starlike of order ${\beta}$, $0{\leq}{\beta}$ < 1 or to belong to other subclasses of univalent functions. We also determine the sharp radius of starlikeness of order ${\beta}$and other radius for the convolution f*g of two starlike functions f, g.
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참고문헌 (31)
참고문헌 신청
R. M. Ali / 2012 / Radii of starlikeness and convexity of functions defined by subordination with fixed second coefficients / Filomat 26:553~561
R. M. Ali / 2012 / Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane / Appl. Math. Comput 218(11):6557~6565
R. M. Ali / 2013 / On the radius constants for classes of analytic functions / Bull. Malaysian Math. Sci. Soc 2(36):23~38
R. M. Ali / 2013 / On the largest disc mapped by sum of convex and starlike functions / Abstract and Applied Analysis 2013:12
R. M. Ali / 2010 / Convolution of certain analytic functions / Journal of Analysis 18:1~8
R. M. Ali / 2012 / Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane / Appl. Math. Comput 218(11):6557~6565
R. M. Ali / 2013 / On the radius constants for classes of analytic functions / Bull. Malaysian Math. Sci. Soc 2(36):23~38
R. M. Ali / 2013 / On the largest disc mapped by sum of convex and starlike functions / Abstract and Applied Analysis 2013:12
R. M. Ali / 2010 / Convolution of certain analytic functions / Journal of Analysis 18:1~8
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