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

Document Type: Research Paper

Authors

1 Department of Basic Sciences, University of Engineering and Technology, P.O. Box 25000, Peshawar Pakistan

2 Department of Mathematics, COMSATS Institute of Information Technology, P.O. Box 22010, Abbotabad, Pakistan

3 Mathematics Department Faculty of Science, main campus Zulfi, P.O. Box 1712, Majmaah University, Saudi Arabia

Abstract

 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.

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Main Subjects