International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1994 / Article

Open Access

Volume 17 |Article ID 839039 | https://doi.org/10.1155/S0161171294000293

A. Dernek, "Meromorphic univalent function with negative coefficient", International Journal of Mathematics and Mathematical Sciences, vol. 17, Article ID 839039, 3 pages, 1994. https://doi.org/10.1155/S0161171294000293

Meromorphic univalent function with negative coefficient

Received20 Sep 1991

Abstract

Let Mn be the classes of regular functions f(z)=z1+a0+a1z+ defined in the annulus 0<|z|<1 and satisfying ReIn+1f(z)In+1f(z)>0, (n0), where I0f(z)=f(z), If(z)=(z1z(z1)2)f(z), Inf(z)=I(In1f(z)), and is the Hadamard convolution. We denote by Γn=MnΓ, where Γ denotes the class of functions of the form f(z)=z1+k=1|ak|zk. We obtained that relates the modulus of the coefficients to starlikeness for the classes Mn and Γn, and coefficient inequalities for the classes Γn.

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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