PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 47(61), pp. 61--67 (1990)
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PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 47(61), pp. 61--67 (1990) |
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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:
Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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