Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 185-189.
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Abstract: In this paper, we find a subclass of starlike functions on the unit disk, which are mapped by a operator, given by F(z)=(1+u)/zu∫z0f(t)tu-1dt(Reu≥0), onto convex functions. The main results extend some known results.
Key words: di?erential subordination, dominant, integral operator
CLC Number:
O177
LU Da-qian, LIU Jin-li. Convexity Condition for a Class of Operator [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 185-189.
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https://sxjk.magtechjournal.com/EN/Y2011/V26/I2/185