Geodesic
Linear Combinations of Regular Functions of Order Alpha with Negative Coefficients
Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 61 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 : 30C45 
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     author = {M. K. Aouf},
     title = {Linear {Combinations} of {Regular} {Functions} of {Order} {Alpha} with {Negative} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {61 },
     publisher = {mathdoc},
     volume = {_N_S_47},
     number = {61},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a7/}
}
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M. K. Aouf. Linear Combinations of Regular Functions of Order Alpha with Negative Coefficients. Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 61 . http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a7/