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Normal Families and Uniqueness of Entire Functions and Their Derivatives
entire function normal family unicity theorem
2007/12/10
Let $f$ be a nonconstant entire function; let $k\ge 2$ be a positive integer; and let $a$ be a nonzero complex number. If $f(z)=a$ $\Longrightarrow $ $f'(z)=a$, and $f'(z)=a$ $\Longrightarrow $ $f^{(k...
Some Radius Problem for Certain Families of Analytic Functions
Subordination principle Carathedory functions Janowski Starlike functions Starlike functions of order b The radius of Starlikeness The radius of convexity The radius of a-convexity
2010/3/1
The aim of this paper is to give bounds of the radius of a -convexity for certain families of analytic functions in the unit disc. The radius of a -convexity is generalization of the radius of convexi...