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On Generalized p-valent Non-Bazilevic Type Functions

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Book cover Current Topics in Pure and Computational Complex Analysis

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Abstract

In this chapter, we introduce and study a subclass \({\cal N}_{p}[k,\mu,\alpha;A,B]\) of p-valent analytic functions of the type

$$f(z)= z^p+ \sum ^{\infty}_{n=m}a_{n+p}z^{n+p}.$$

This class includes the class of non-Bazilevic functions. We use differential subordination to derive certain inclusion relations. Distortion theorems, radius problems, and coefficient result, are also discussed.

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Acknowledgment

The author would like to express gratitude to Dr. S. M. Junaid Zaidi, Rector COMSATS Instituite of Information Technology, Pakistan, for his support and providing excellent research facilities. This research is supported by HEC Project NRPU No: 20-1966/R & D/11- 2553, titled, Research unit of Academic Excellence in Geometric Function Theory and Applications.

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Authors and Affiliations

  1. Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan

    Khalida Inayat Noor

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  1. Khalida Inayat Noor
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Correspondence to Khalida Inayat Noor .

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Editors and Affiliations

  1. Department of Mathematics, Walchand College of Engineering, Sangli, Maharashtra, India

    Santosh Joshi

  2. Department of Mathematics, Brigham Young University, Provo, Utah, USA

    Michael Dorff

  3. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

    Indrajit Lahiri

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Noor, K. (2014). On Generalized p-valent Non-Bazilevic Type Functions. In: Joshi, S., Dorff, M., Lahiri, I. (eds) Current Topics in Pure and Computational Complex Analysis. Trends in Mathematics. Birkhäuser, New Delhi. https://doi.org/10.1007/978-81-322-2113-5_10

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