Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 3, Issue 1


Published
on

January 1, 2015


Pages

39-45


DOI

Article

Some Subclasses of p-Valent Functions Defined by Generalized Fractional Differintegral Operator -II

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Authors

C. Selvaraj Affiliation:
Department of Mathematics, Presidency College (Autonomous), Chennai - 600005, India
, O. S. Babu Affiliation:
Department of Mathematics, Dr. Ambedkar Govt. Arts College, Chennai - 600039, India
and G. Murugusundaramoorthy* Affiliation:
School of Advanced Sciences, VIT University, Vellore - 632 014, India


Abstract

In this paper, by applying a generalized extended fractional differintegral operator $S_{\lambda,\mu,\eta}^{0,z}$ ($z \in \triangle$; $p \in \mathbb{N}$; $\mu,\eta \in \mathbb{R}$; $\mu < p + 1$; $-\infty < \lambda < \eta + p + 1$) we define a new class convex functions $C V_{\lambda,\mu,\eta}^{p}(\alpha;A,B)$ and several sharp inclusion relationships and other interesting properties were discussed by using the techniques of differential subordination.


Keywords

Analytic function, Multivalent function, Differential subordination, Generalized fractional differintegral operator, Generalized hypergeometric function, Hadamard product (or convolution)


Citation

Selvaraj, C., Babu, O. S., & Murugusundaramoorthy, G. (2015). Some subclasses of p-valent functions defined by generalized fractional differintegral operator -II. Journal of Analysis & Number Theory, 3(1), 39–45. https://doi.org/10.12785/jant/030107

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