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Applications of higher-order q-derivatives to the subclass of q-starlike functions associated with the Janowski functions

  • Received: 22 July 2020 Accepted: 15 October 2020 Published: 11 November 2020
  • MSC : Primary 05A30, 30C45; Secondary 11B65, 47B38

  • In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions. Several coefficient inequalities and a sufficient condition are derived. Relevant connections with a number of earlier works on this subject are also pointed out.

    Citation: Muhammad Sabil Ur Rehman, Qazi Zahoor Ahmad, H. M. Srivastava, Nazar Khan, Maslina Darus, Bilal Khan. Applications of higher-order q-derivatives to the subclass of q-starlike functions associated with the Janowski functions[J]. AIMS Mathematics, 2021, 6(2): 1110-1125. doi: 10.3934/math.2021067

    Related Papers:

  • In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions. Several coefficient inequalities and a sufficient condition are derived. Relevant connections with a number of earlier works on this subject are also pointed out.


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