Convolutions of Meromorphic Univalent Functions with Positive Coefficients
Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 43
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Let $f(z)=1/z+\s{a_n}$, $a_n\ge 0$ and $g(z)=1/z+\s{b_n}$,
$b_n\ge 0$. We investigate certain properties of the convolution
$1/z+\s{a_nb_n}$ where $f(z)$ and $g(z)$ are meromorphically starlike.
Classification :
30C45
Keywords: Meromorphic univalent functions, Starlike of order $alpha$, convolution.
Keywords: Meromorphic univalent functions, Starlike of order $alpha$, convolution.
@article{PIM_1987_N_S_42_56_a5,
author = {B.A. Uralegaddi},
title = {Convolutions of {Meromorphic} {Univalent} {Functions} with {Positive} {Coefficients}},
journal = {Publications de l'Institut Math\'ematique},
pages = {43 },
year = {1987},
volume = {_N_S_42},
number = {56},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a5/}
}
B.A. Uralegaddi. Convolutions of Meromorphic Univalent Functions with Positive Coefficients. Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 43 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a5/