A class of meromorphic starlike functions

ON A CLASS OF MEROMORPHIC p-VALENT STARLIKE FUNCTIONS INVOLVING CERTAIN LINEAR OPERATORS

Let ∑ p be the class of functions f(z) which are analytic in the punctured disk E∗ = {z ∈ C : 0 < |z| < 1}. Applying the linear operator Dn+p defined by using the convolutions, the subclass n+p(α) of ∑ p is considered. The object of the present paper is to prove that n+p(α) ⊂ n+p−1(α). Since 0(α) is the class of meromorphic p-valent starlike functions of order α, all functions in n+p−1(α) are m...

Coefficient Estimates of Meromorphic Bi- Starlike Functions of Complex Order

In the present investigation, we define a new subclass of meromorphic bi-univalent functions class Σ′ of complex order γ ∈ C\{0}, and obtain the estimates for the coefficients |b0| and |b1|. Further we pointed out several new or known consequences of our result.

On Meromorphic Harmonic Starlike Functions with Missing Coefficients

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent. Consider ...

A New Class of Meromorphic Functions Associated with Spirallike Functions

Lei Shi, Zhi-Gang Wang, and Jing-Ping Yi School of Mathematics and Statistics, Anyang Normal University, Henan, Anyang 455002, China Correspondence should be addressed to Lei Shi, shilei [email protected] Received 22 September 2012; Revised 26 October 2012; Accepted 31 October 2012 Academic Editor: Alberto Cabada Copyright q 2012 Lei Shi et al. This is an open access article distributed under the...