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Majorization of starlike and convex functions of complex order involving linear operators

  • G. Murugusundaramoorthy EMAIL logo and K. Thilagavathi
Published/Copyright: April 29, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 1

Abstract

The main object of this present paper is to investigate the problem of majorization of certain class of analytic functions of complex order defined by the Dziok-Raina linear operator. Moreover we point out some new or known consequences of our main result.

Key words: analytic functions; starlike functions; convex functions; Qusai-subordination; majorization problems; Hadamard product (convolution); generalized hypergeometric function
MSC: Primary 30C45; Secondary 30C50

Dedicated to the Mathematician Srinivasan Ramanujan on his 125th Birth Anniversary

  1. This paper has been communicated by Stanisława Kanas

Acknowledgement

The authors thank the referee for his insightful suggestions to improve this paper in the present form.

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Received: 2012-1-9
Accepted: 2013-8-5
Published Online: 2016-4-29
Published in Print: 2016-2-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0122
Keywords for this article
analytic functions; starlike functions; convex functions; Qusai-subordination; majorization problems; Hadamard product (convolution); generalized hypergeometric function

Articles in the same Issue

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  3. Research Article
  4. On the number of slim, semimodular lattices
  5. Research Article
  6. Quantum computational algebra with a non-commutative generalization
  7. Research Article
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  9. Research Article
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  11. Research Article
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  13. Research Article
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