On Certain Subclasses of Multivalent Functions Involving A Differintegral Operator


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Authors

  • C. Selvaraj Department of Mathematics, Presidency College, Chennai, Tamilnadu, India
  • T. R. K. Kumar Department of Mathematics, R.M.K.Engineering College, R.S.M.Nagar, Kavaraipettai, Tamilnadu, India
  • G. Thirupathi Department of Mathematics, R.M.K.Engineering College, R.S.M.Nagar, Kavaraipettai, Tamilnadu, India

Keywords:

p-Valent analytic functions, Linear operator, Generalized neighborhoods, Fractional calculus operators, Hypergeometric function, Differential subordination

Abstract

In this paper, we introduce the class $S_{p}^{m,l,\lambda}\left(\alpha,\beta,\gamma,\sigma;A,B\right)$ of p-valent functions in the unit disc $\mathbb{U}=\left\{z :\left|z\right|<1\right\}$. We obtain coefficient estimate, distortion and closure thoerems and radii of close-to-convexity, starlikeness and convexity for this class.

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Published

30-12-2015

How to Cite

C. Selvaraj, T. R. K. Kumar, & G. Thirupathi. (2015). On Certain Subclasses of Multivalent Functions Involving A Differintegral Operator. International Journal of Mathematics And Its Applications, 3(4 - E), 41–54. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/524

Issue

Vol. 3 No. 4 - E (2015)

Section

Research Article

License

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