General Mathematics, Vol. 7, pp. 25-38, 1999

H.E. Darwish, M.K. Aouf, G.S. Salagean -- On meromorphic p-valent functions with positive coefficients

Abstract:

Let $\, \Sigma(p) \, $ denote the class of functions of the form $$ f(z) = \frac{a_{p-1}}{z^p}+\sum_{n=1}^\infty a_{p+n-1}z^{p+n-1}, \; \; a_{p-1}>0, \; \; a_{p+n-1}\ge 0, \; \; p \in \mathbb{N} = \{1, 2, ... \}, $$ which are regular and p-valent in the punctured disc $\, U^* = \{z\, : \, 0<|Z|<1 ORDER WE S(P,\ALPHA,Z_0), $\, (0\LE\DELTA

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