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AIMS Mathematics

2017, Volume 2, Issue 4: 622-634. doi: 10.3934/Math.2017.4.622
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Research article

Certain subclass of analytic functions related with conic domains and associated with Salagean q-differential operator

  • 1.
    Department of Mathematics COMSATS Institute of Information Technology, Abbottabad, Pakistan
  • 2.
    Department of Mathematics Riphah International University Islamabad, Pakistan
  • 3.
    School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
  • Received: 20 October 2017 Accepted: 31 October 2017 Published: 16 November 2017

  • MSC : Primary 30C45; Secondary 30C50

  • In our present investigation, by using Salagean q-differential operator we introduce and define new subclass $k-\mathcal{US}(q, \gamma, m), $ $\gamma \in C\backslash \{0\}, $ and studied certain subclass of analytic functions in conic domains. We investigate the number of useful properties of this class such structural formula and coefficient estimates Fekete--Szego problem, we give some subordination results, and some other corollaries.

    Citation: Saqib Hussain, Shahid Khan, Muhammad Asad Zaighum, Maslina Darus. Certain subclass of analytic functions related with conic domains and associated with Salagean q-differential operator[J]. AIMS Mathematics, 2017, 2(4): 622-634. doi: 10.3934/Math.2017.4.622

    Related Papers:

  • In our present investigation, by using Salagean q-differential operator we introduce and define new subclass $k-\mathcal{US}(q, \gamma, m), $ $\gamma \in C\backslash \{0\}, $ and studied certain subclass of analytic functions in conic domains. We investigate the number of useful properties of this class such structural formula and coefficient estimates Fekete--Szego problem, we give some subordination results, and some other corollaries.


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