Some subclasses of multivalent spirallike meromorphic functions

Subclasses of spirallike multivalent functions

Some Properties of Subclasses of Multivalent Functions

and Applied Analysis 3 On the other hand, for a function f defined by 1.6 and in the class C p, α , Lemma 1.2 yields ap 1 ≤ p ( p − α ( p 1 )( p 1 − α . 1.10 In view of the coefficient inequalities 1.9 and 1.10 , it would seem to be natural to introduce and study here two further classes T ∗ ε p, α and Cε p, α of analytic and p-valent functions, where T ∗ ε p, α denotes the subclass of T ∗ p, α...

Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

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...

Subclasses of α-spirallike functions associated with Ruscheweyh derivatives