Original Article
Kyungpook Mathematical Journal 2006; 46(1): 97-109
Published online March 23, 2006
Copyright © Kyungpook Mathematical Journal.
Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation
S. Sivaprasad Kumar1, H. C. Taneja1, V. Ravichandran2
1Department of Applied Mathematics, Delhi College of Engineering, Delhi-110042, India
2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia
In this paper, the authors introduce new classes of $p$-valent functions defined by Dziok-Srivastava linear operator and the multiplier transformation and study their properties by using certain first order differential subordination and superordination. Also certain inclusion relations are established and an integral transform is discussed.
Keywords: analytic function, univalent function, differential subordinations, differential superordinations, Dziok-Srivastava linear operator, multiplier transformation