PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 47(61), pp. 6167 (1990) 

LINEAR COMBINATIONS OF REGULAR FUNCTIONS OF ORDER ALPHA WITH NEGATIVE COEFFICIENTSM. K. AoufDepartment of Mathematics, Faculty of Science University of Mansoura, Mansoura, EgyptAbstract: Let $f(z)=a_pz^p \sum_{n=1}^{\infty} a_{n+k}z^{n+k}$, $k\ge p\ge 1$, with $a_p>0$, $a_{n+k}\ge0$ be regular in $U=\{z:z<1\}$ and $F(z)=(1\lambda)f(z)+\lambda p^{1}zf'(z)$, $z\in U$, where $\lambda\ge 0$. Classification (MSC2000): 30C45 Full text of the article:
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