scholarly journals New criteria for multivalent meromorphic starlike functions of order alpha

1993 ◽  
Vol 69 (3) ◽  
pp. 66-70 ◽  
Author(s):  
M. K. Aouf
Keyword(s):  
Starlike Functions ◽  
Meromorphic Starlike Functions ◽  
New Criteria

scholarly journals On sufficient conditions of meromorphic starlike functions

2014 ◽  
Vol 32 (2) ◽  
pp. 229
Author(s):  
Ali Muhammad
Keyword(s):  
Unit Disc ◽  
Sufficient Conditions ◽  
Starlike Functions ◽  
Meromorphic Starlike Functions

In this paper, we investigate interesting properties and sufficient conditions for meromorphic starlike functions in the punctured unit disc.

scholarly journals New criteria for meromorphic $p$-valent starlike functions

1993 ◽  
Vol 17 (2) ◽  
pp. 481-486 ◽  
Author(s):  
M.K. Aouf ◽  
H.M. Hossen
Keyword(s):  
Starlike Functions ◽  
New Criteria

scholarly journals On meromorphic starlike functions

1963 ◽  
Vol 13 (1) ◽  
pp. 221-235 ◽  
Author(s):  
Christian Pommerenke
Keyword(s):  
Starlike Functions ◽  
Meromorphic Starlike Functions

scholarly journals Meromorphic starlike functions

1981 ◽  
Vol 11 (3) ◽  
pp. 441-458 ◽  
Author(s):  
Paul J. Eenigenburg ◽  
Albert E Livingston
Keyword(s):  
Starlike Functions ◽  
Meromorphic Starlike Functions

scholarly journals ON A CLASS OF MEROMORPHIC STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

1996 ◽  
Vol 27 (1) ◽  
pp. 15-26
Author(s):  
K. K. DIXIT ◽  
S. K. PAL
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Starlike Functions ◽  
Integral Transforms ◽  
Coefficient Estimates ◽  
Linear Combinations ◽  
Meromorphic Starlike Functions ◽  
Class Of Functions

Let $T^*_M(A, B, z_0)$ denote the class of functions \[f(z)=\frac{a}{z}-\sum_{n=1}^\infty a_nz^n, a\ge 1, a_n\ge 0\] regular and univalent in unit disc $U'=\{z:0<|z|<1\}$, satisfying the condition \[-z\frac{f'(z)}{f(z)}=\frac{1+Aw(z)}{1+Bw(z)}, \quad \text{ for } z\in U' \text{ and } w\in E\] (where $E$ is the class of analytic functions $w$ with $w(0) = 0$ and $|w(z)| \le 1$), where $-1\le A < B \le 1$, $0\le B \le 1$ and $f(z_0) =1/z_0$ ($0<z_0<1$). In this paper sharp coefficient estimates, distortion properties and radius of meromorphic convexity for functions in $T^*_M(A, B, z_0)$ have been obtained. We also study integral transforms of functions in $T^*_M(A, B, z_0)$. In the last, it is proved that the class $T^*_M(A, B, z_0)$ is closed under convex linear combinations.          

scholarly journals On a New Criterion for Meromorphic Starlike Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Lei Shi ◽  
Zhi-Gang Wang
Keyword(s):  
Starlike Functions ◽  
New Criterion ◽  
Meromorphic Starlike Functions

The main purpose of this paper is to derive a new criterion for meromorphic starlike functions of orderα.

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