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AIMS Mathematics

2018, Volume 3, Issue 3: 353-364. doi: 10.3934/Math.2018.3.353
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Research article

Study of Multivalent Spirallike Bazilevic Functions

  • 1.
    Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
  • 2.
    Department of Mathematics, Riphah International University Islamabad, Pakistan
  • Received: 22 June 2018 Accepted: 13 September 2018 Published: 19 September 2018

  • MSC : Primary 05A30, 30C45; Secondary 11B65, 47B38

  • In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevic functions by using the concept of k-uniformly starlikness and k-uniformly convexity. We prove inclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions. Convolution properties for these classes are also discussed.

    Citation: Nazar Khan, Ajmal Khan, Qazi Zahoor Ahmad, Bilal Khan, Shahid Khan. Study of Multivalent Spirallike Bazilevic Functions[J]. AIMS Mathematics, 2018, 3(3): 353-364. doi: 10.3934/Math.2018.3.353

    Related Papers:

  • In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevic functions by using the concept of k-uniformly starlikness and k-uniformly convexity. We prove inclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions. Convolution properties for these classes are also discussed.


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    [14] K. I. Noor, N. Khan and M. A. Noor, On generalized spiral-like analytic functions, Filomat, 28 (2014), 1493-1503.
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  • © 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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