关于具有负系数的p叶星象函数的注记

A Note on P-Valwnt Starlike Functions with Negative Coefficients

文献[1]的全部结果是对具有负系数的P叶α级星象函数类T(P,α)与P叶α级凸象函数类C(P,α)(0≤α<P,P∈N={1,2,…})中函数的分数次微积分(fractionalcalculus)建立了三个偏差定理及其简单推论。然而,所有这些结果都是不准确的。

Let R_p~* (β, A, B)denote the class of certain P-ualent starlike functions withnegative coefficients. The object of the present note is to estavlish distortion theorems forthe fractional integral of functions in R_p~*(β, A, B,).By specializing the parameters in- volved, we improve sone recent results of Sivastava and Qwa. A theorem which relate thefrnctions in R_p~* (β, A, B)to their partial sums is also given.