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Published in:
Boundary Behavior of Univalent Harmonic Mappings Read chapter Read first chapter

2014 | OriginalPaper | Chapter

10. On Generalized p-valent Non-Bazilevic Type Functions

Author : Khalida Inayat Noor

Published in: Current Topics in Pure and Computational Complex Analysis

Publisher: Springer India

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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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previous chapter Starlikeness, Convexity and Close-to-convexity of Harmonic Mappings
next chapter Integral Mean Estimates for a Polynomial with Restricted Zeros
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Metadata
Title
On Generalized p-valent Non-Bazilevic Type Functions
Author
Khalida Inayat Noor
Copyright Year
2014
Publisher
Springer India
Book
Current Topics in Pure and Computational Complex Analysis

Print ISBN: 978-81-322-2112-8

Electronic ISBN: 978-81-322-2113-5

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-81-322-2113-5_10

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