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Coefficient estimates for a certain family of analytic functions involving a q-derivative operator

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Abstract

In this paper, we study the coefficient estimates for a class of analytic functions defined by using the q-Ruscheweyh derivative operator. In particular, we investigate the first four coefficient bounds, the Fekete–Szegő problem and some other coefficient inequalities for the functions in this class. Several known and new consequences of the results are also pointed out. Further, the results in this work improve or generalize some recent works in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Government College University, Faisalabad, Pakistan

    Mohsan Raza

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada

    Hari Mohan Srivastava

  3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

    Hari Mohan Srivastava

  4. Department of Mathematics, Abdulwali Khan University Mardan, Mardan, Pakistan

    Muhammad Arif & Khurshid Ahmad

Authors
  1. Mohsan Raza
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  2. Hari Mohan Srivastava
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  3. Muhammad Arif
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  4. Khurshid Ahmad
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Correspondence to Mohsan Raza.

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Raza, M., Srivastava, H.M., Arif, M. et al. Coefficient estimates for a certain family of analytic functions involving a q-derivative operator. Ramanujan J 55, 53–71 (2021). https://doi.org/10.1007/s11139-020-00338-y

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