EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 42(56), pp. 43--45 (1987)

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CONVOLUTIONS OF MEROMORPHIC UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS

B.A. Uralegaddi

Department of Mathematics, Karnatak University, Dharwad 580003, India

Abstract: 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.

Keywords: Meromorphic univalent functions, Starlike of order $\alpha$, convolution.

Classification (MSC2000): 30C45

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 8 Mar 2002.

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